Question

If the HCF and LCM of two numbers are 7and 14 respectively, then what
are the numbers?​

Answer 1

Step-by-step explanation:

LCM and HCF of two numbers are given we have to find the numbers.

HCF of two numbers is 7 and LCM is 14.

Let numbers be x and y.

x=7a and y=7b,where a and b are relative prime to each others.

7ab=LCM of x and y.

ab = 14/7 = 2.

Now find a and b relative prime to each others and ab=2.

Thus (1,2)

hence numbers are (7 , 14)

Hope this will help you :)