Question

The G.C.D. and L.C.M. of two numbers are 8 and 120 respectively. If one of these, numbers is 24,then find the other number?​

Answer 1

Answer:

• The other required number = 40

Given:

• The G.C.D. and L.C.M. of two numbers are 8 and 120 respectively. One of the number is 24.

Need to find:

• The other required number = ?

Solution:

Formula used here:

• LCM × GCD = Product of two numbers

Putting the values:

➦ LCM × GCD = a × b

➦ 120 × 8 = 24 × b

➦ 960 = 24 × b

➦ b = 960/24

➦ b = 40

Therefore:

• The other required number is 40.

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Answer 2

Given

• The G.C.D. and L.C.M. of two numbers are 8 and 120 respectively. One number is 24

To Find :

• The other number ?

Solution :

As we know that,

• L.C.M × G.C.D = Product of two numbers

Here,

• L.C.M = 120
• G.C.D = 8
• A = 24

Putting the values,

→ L.C.M × G.C.D = A × B

→ 120 × 8 = 24 × B

→ 960 = 24 × B

→ B = 960/24

→ B = 40

∴ Hence, the other number is 40.