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The highest common factor of 42, 70, 98 and 126 is
- a)11
- b)12
- c)13
- d)14
Correct answer is option 'D'. Can you explain this answer?
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The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Corr...
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The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Corr...
Highest Common Factor (HCF) is the largest number that divides two or more given numbers without leaving a remainder. To find the HCF of the given numbers 42, 70, 98, and 126, we can use the prime factorization method.
1. Prime Factorization of the Numbers:
First, we need to find the prime factors of each number.
- Prime factorization of 42: 2 × 3 × 7
- Prime factorization of 70: 2 × 5 × 7
- Prime factorization of 98: 2 × 7 × 7
- Prime factorization of 126: 2 × 3 × 3 × 7
2. Identify the Common Factors:
Next, we need to identify the common factors among the numbers. These are the prime factors that are present in all the numbers.
- Common factors of 42, 70, 98, and 126: 2 and 7
3. Find the Highest Common Factor:
To find the HCF, we take the product of the common factors.
HCF = 2 × 7 = 14
Therefore, the highest common factor of 42, 70, 98, and 126 is 14.
In the given options, option 'D' corresponds to the correct answer, which is 14.
1. Prime Factorization of the Numbers:
First, we need to find the prime factors of each number.
- Prime factorization of 42: 2 × 3 × 7
- Prime factorization of 70: 2 × 5 × 7
- Prime factorization of 98: 2 × 7 × 7
- Prime factorization of 126: 2 × 3 × 3 × 7
2. Identify the Common Factors:
Next, we need to identify the common factors among the numbers. These are the prime factors that are present in all the numbers.
- Common factors of 42, 70, 98, and 126: 2 and 7
3. Find the Highest Common Factor:
To find the HCF, we take the product of the common factors.
HCF = 2 × 7 = 14
Therefore, the highest common factor of 42, 70, 98, and 126 is 14.
In the given options, option 'D' corresponds to the correct answer, which is 14.
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The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Correct answer is option 'D'. Can you explain this answer?.
The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Correct answer is option 'D'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The highest common factor of 42, 70, 98 and 126 isa)11b)12c)13d)14Correct answer is option 'D'. Can you explain this answer?.
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