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Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.?
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Find the HCF of 250,425 and 175 using euclid's division lemma.Also fin...
Finding HCF using Euclid's Division Lemma:
Finding LCM by Prime Factorisation Method:
Explanation:
- Let us begin by dividing the larger number by the smaller number.
- First, we divide 425 by 250. We get 1 as the quotient and the remainder is 175.
- Then, we divide 250 by 175. We get 1 as the quotient and the remainder is 75.
- Finally, we divide 175 by 75. We get 2 as the quotient and the remainder is 25.
- We stop here because we cannot divide 75 by 25 without getting a remainder of 0.
- Therefore, the HCF of 250, 425 and 175 is 25.
Finding LCM by Prime Factorisation Method:
- First, we factorise the given numbers into their prime factors.
- 250 = 2 x 5 x 5 x 5
- 425 = 5 x 5 x 17
- 175 = 5 x 5 x 7
- Next, we take all the prime factors of the given numbers, and write them down only once.
- 2 x 5 x 5 x 5 x 7 x 17
- Finally, we multiply all the prime factors together to get the LCM.
- LCM = 2 x 5 x 5 x 5 x 7 x 17 = 21,250
Explanation:
- Euclid's Division Lemma is a method used to find the HCF of two or more numbers.
- It involves dividing the larger number by the smaller number, and then dividing the smaller number by the remainder of the previous division.
- This process is repeated until we get a remainder of 0, which means that we have found the HCF.
- The prime factorisation method is used to find the LCM of two or more numbers.
- It involves factorising the given numbers into their prime factors, and then taking all the prime factors and writing them down only once.
- Finally, we multiply all the prime factors together to get the LCM.
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Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.?
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Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.?.
Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF of 250,425 and 175 using euclid's division lemma.Also find the LCM by prime factorisation method.?.
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