Question

What is the HCF and LCM of 72 and 108

Answer 1

Step-by-step explanation:

Applying prime factorisation method, we get

72=2×2×2×3×3

108=2×2×3×3×3

L.C.M is 216 (72×3)(108×2)

H.C.F is 2×2×3×3=36 plse mark as brainlist

Answer 2

Answer:

36 and 216

Step-by-step explanation:

Break the number into factors like this

72= 2x36 = 2x2x18 = 2x2x2x9 = 2x2x2x3x3

108 = 2x54 = 2x2x27 =2x2x3x9 = 2x2x3x3x3

For HCF :

Lets talk about number 2.

see that 72 has three times 2 in it and 108 has two times 2 in it. which is less? Ans= two. So two times 2 we will take.

Now let's talk about number 3.

72 has two times 3 in it and 108 has three times 3 in it. which is less?

Ans= two. so two times 3 we will take.

Now, multiply them:

HCF = two times 2 x two times 3 = 2x2x3x3 = 36

For LCM :

Lets talk about number 2.

see that 72 has three times 2 in it and 108 has two times 2 in it. which is more? Ans= three. So three times 2 we will take.

Now let's talk about number 3.

72 has two times 3 in it and 108 has three times 3 in it. which is more?

Ans= three. so three times 3 we will take.

Now, multiply them:

LCM = three times 2 x three times 3 = 2x2x2x3x3x3 = 216