Question

p is equal to 2 4 6 8 10 12 14 16 18 20 and q is equal to 1 3 5 7 11 13 17 19 then HCF of p and q is​

Answer 1

Answer:

1

p is even number and q is odd number .

so HCF is 1

Answer 2

Answer:

14175

Step-by-step explanation:

We have to find the HCF of P and Q.

"The H.C.F. of the numbers is the product of the common prime factors."

Since in P, there are prime numbers 2,3,5,7.

In Q, there are no factors of 2.

So, the HCF of P and Q will surely not have 2, therefore, it will have 3,5 and 7.

In P, 3's comes from 6,12,18.

6 =, 12= ,

Therefore, is the greatest power of 3 that is a factor of P.

In Q, 3's comes from 3,9 and 15

3 =, 9= ,

Therefore, is also a factor of Q.

Similarly is the greatest power of 5 in P and Q.

And 7 is the greatest power in P and Q.

So, HCF of P and Q =

= 14175

Therefore, HCF of P and Q is or 14175.