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

Given :-

• The G.C.D. and L.C.M. of two numbers are 8 and 120 respectively. If one of these, numbers is 24.

To find :-

• Other number

Solution :-

• GCD of two numbers = 8

• LCM of two numbers = 120

• One of the number = 24

As we know that

→ LCM × GCD = Product of two numbers

→ LCM × GCD = a × b

Where " a " is first number and " b " is second number.

According to the given condition

→ LCM × GCD = a × b

→ 120 × 8 = 24 × b

→ 960 = 24 × b

→ b = 960/24

→ b = 40

Hence,

• Other number is 40

Note :

• GCD = Greatest common factor
• GCD = HCF

Answer 2

Answer:

Other number = 40.

Step-by-step explanation:

Given that,

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

Let's First number be R and second number be S.

As we know that,

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

[ Putting values ]

▶▶ 8 × 120 = 24 × S

▶▶ 960 = 24 × S

▶▶ S = 960/24

▶▶ S = 40.

Hence,

• The other number is 40.