Question

The H.c.F of two numbers is 6,if one of the number is 42, find the other number .

Answer 1

The other number can be any of 6 12, 18, 24, 30, 36, 48, ... .

Given data:

The HCF of two numbers is 6. One of the numbers is 42.

To find:

The other number

Step-by-step explanation:

One number is 42 = 6 × 7

Since the HCF of the two numbers is 6, the other number is of the form 6k, where 7 and k must be co-primes.

Since 6 and k are co-primes, we can take the value of k being any positive integer other than the multiplies of 7.

• When k = 1, the other number is 6.
• When k = 2, the other number is 12.
• When k = 3, the other number is 18.
• When k = 4, the other number is 24.
• When k = 5, the other number is 30.
• When k = 6, the other number is 36.
• When k = 8, the other number is 48.
• and so on ...

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