Question

if x and y are two prime numbers then their hcf is​

Answer 1

Answer:

Step-by-step explanation:x and y are prime numbers.so ,the common factor is one for x and y .HCF=product of the smallest power of each common prime factors of the numbers. Therefore the 1 is the HCF of prime numbers x and y

Answer 2

Given : x and y are two prime numbers.

To find : Their HCF.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the HCF of the x and y)

According to the definition of prime numbers, a prime number is only divisible by 1 and itself.

Similarly,

x and y (which are prime numbers) are only divisible by 1 and themselves.

Which implies,

The only common factor of x and y is 1

This one common factor (i.e. 1) will be considered as the highest common factor of x and y, as well.

(This also means, any two prime numbers will always have 1 as their HCF.)

Hence, their HCF is 1