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Question

If a and b are relatively prime numbers, then what is their HCF?

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Solution

It is given that a and b are two relatively prime numbers; we have to find their HCF.

We know that two numbers are relatively prime if they don’t have any common divisor.

Also, the factors of any prime number are 1 and the prime number itself.

For example, let a = 7 and b = 20

Thus, the factors are as follows
a = 7 × 1

And
b = 22 × 5 × 1

Now, the HCF of 7 and 20 is 1.

Thus the HCF of a and b is .


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