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Find HCF and LCM of 404 and 96 and verify that HCF and LCM =product of the two given number?
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Find HCF and LCM of 404 and 96 and verify that HCF and LCM =product of...
HCF of 404 and 96

404 = 2*2*101

96 = 2*2*2*2*2*3

Common Factors = 2*2 

HCF of 404 and 96 = 4

LCM of 404 and 96

404 = 2*2*101

96 = 2*2*2*2*2*3

LCM = 2*2*2*2*2*3*101 = 9696

LCM of 404 and 96 is 9696

HCF � LCM = Product of the two numbers 

⇒ 4*9696 = 404*96

⇒ 38784 = 38784

LHS = RHS
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Find HCF and LCM of 404 and 96 and verify that HCF and LCM =product of...
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Find HCF and LCM of 404 and 96 and verify that HCF and LCM =product of...
Calculating HCF and LCM of 404 and 96
- Calculating HCF (Highest Common Factor)
To find the HCF of 404 and 96, we can use the prime factorization method.
Prime factorization of 404 = 2 x 2 x 101
Prime factorization of 96 = 2 x 2 x 2 x 2 x 2 x 3
HCF will be the product of the common prime factors raised to their lowest powers, which is 2 x 2 = 4.
- Calculating LCM (Lowest Common Multiple)
LCM of two numbers can be calculated by multiplying all the prime factors with the highest powers present in the numbers.
LCM of 404 and 96 = 2 x 2 x 2 x 2 x 2 x 3 x 101 = 9696
- Verifying HCF and LCM
HCF x LCM = 4 x 9696 = 38784
Product of the two given numbers = 404 x 96 = 38784
Therefore, HCF x LCM = Product of the two given numbers.
Hence, the HCF and LCM of 404 and 96 are 4 and 9696 respectively, and they indeed equal the product of the two given numbers.
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Read the extract given below and answer the questions that follows:There are many activities that are undertaken by directly using natural resources. When we produce a good by exploiting natural resources, it is an activity of the primary sector. Since most of the natural products we get are from agriculture, dairy, fishing, forestry, this sector is also called agriculture and related sector. The secondary sector covers activities in which natural products are changed into other forms through ways of manufacturing that we associate with industrial activity. It is the next step after primary. The product is not produced by nature but has to be made and therefore some process of manufacturing is essential. After primary and secondary, there is a third category of activities that falls under tertiary sector and is different from the above two. These are activities that help in the development of the primary and secondary sectors. These activities, by themselves, do not produce a good but they are an aid or a support for the production process. The various production activities in the primary, secondary and tertiary sectors produce a very large number of goods and services. Also, the three sectors have a large number of people working in them to produce these goods and services. The value of final goods and services produced in each sector during a particular year provides the total production of the sector for that year. And the sum of production in the three sectors gives what is called the Gross Domestic Product (GDP) of a country. It is the value of all final goods and services produced within a country during a particular year. GDP shows how big the economy is.Q. Which of the following statement is not true?

Read the extract given below and answer the questions that follows:There are many activities that are undertaken by directly using natural resources. When we produce a good by exploiting natural resources, it is an activity of the primary sector. Since most of the natural products we get are from agriculture, dairy, fishing, forestry, this sector is also called agriculture and related sector. The secondary sector covers activities in which natural products are changed into other forms through ways of manufacturing that we associate with industrial activity. It is the next step after primary. The product is not produced by nature but has to be made and therefore some process of manufacturing is essential. After primary and secondary, there is a third category of activities that falls under tertiary sector and is different from the above two. These are activities that help in the development of the primary and secondary sectors. These activities, by themselves, do not produce a good but they are an aid or a support for the production process. The various production activities in the primary, secondary and tertiary sectors produce a very large number of goods and services. Also, the three sectors have a large number of people working in them to produce these goods and services. The value of final goods and services produced in each sector during a particular year provides the total production of the sector for that year. And the sum of production in the three sectors gives what is called the Gross Domestic Product (GDP) of a country. It is the value of all final goods and services produced within a country during a particular year. GDP shows how big the economy is.Q. Production of a commodity, mostly through ways of manufacturing is an activity of which sector?

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