Question
If L.C.M. (150, 100) = 300, then find H.C.F. (150, 100).
Answer: Option B
:
B
Given: L.C.M. (100,150) = 300
We know that product of two numbers is equal to the product of their HCF and LCM.
⇒ Product of numbers 100and 150 = HCF × LCM
⇒ 100×150 = HCF × 300
⇒ HCF = 100×150300
⇒ HCF = 15000300
⇒ HCF = 50
∴ HCF of 100 and 150 is 50.
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:
B
Given: L.C.M. (100,150) = 300
We know that product of two numbers is equal to the product of their HCF and LCM.
⇒ Product of numbers 100and 150 = HCF × LCM
⇒ 100×150 = HCF × 300
⇒ HCF = 100×150300
⇒ HCF = 15000300
⇒ HCF = 50
∴ HCF of 100 and 150 is 50.
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