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

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Question

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

Sum
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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 1.

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Chapter 1: Real Numbers - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 1.44]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 35. | Page 1.44
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