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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...
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.
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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?
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