Question

If x is a factor of y, the HCF of x and y is ______, and LCM of x and y is _____.
(a) x,y
(b) y,x
(c) x,x
(d) y,y​

Answer 1

Answer:

Correct option is

A

1 or 2

Suppose the HCF of (x−y,x+y) is m.

∴

x−y

m

and

x+y

m

∴ x−y=am and x+y=bm

∴ 2x=(a+b)m

Also 2y=(b−a)m

Now HCF of (x,y)=1

∴ 2 HCF of (x,y)=2

HCF of ((a+b)m,(b−a)m) is 2

m× HCF of (a+b,b−a)=2×1=2

∴ m=1 or 2.

Answer 2

Answer:

Answer is (b) y,x

Step-by-step explanation: