Question

LCM and HCF of two numbers are 154 and 7 respectively. If one of the numbers is 77, then find the other number.

• A. 16
• B. 15
• C. 13
• D. 14

Answer 1

Answer:

D. 14

Use the relation between two numbers:

$\text{Number}_1 \times \text{Number}_2 = \text{LCM} \times \text{HCF}$

Given:

• LCM = 154

• HCF = 7

• One number = 77

Let the other number be ( x )

$77 \times x = 154 \times 7$
$77x = 1078$
$x = \frac{1078}{77} = 14$

Final Answer:
$\boxed{14}$