Question : The product of two numbers is 20000. If their LCM is 800, then what is their HCF?
Option 1: 25
Option 2: 30
Option 3: 35
Option 4: 20
Answer (1)
20th Jan, 2024
Correct Answer: 25
Solution :
The product of two numbers is = 20000
LCM = 800
As we know the product of the highest common factor (HCF) and least common multiple (LCM) of two numbers is equal to the product of the two numbers.
So, 800 × HCF = 20000
⇒ HCF = $\frac{20000}{800}$
$\therefore$ HCF = 25
Hence, the correct answer is 25.
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