Question
Download Solution PDFThe ratio of the two numbers is 3 : 4 and their LCM is 480. Find their HCF.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of the two numbers is 3 : 4
Their LCM is 480
Concept used:
Product of two numbers = HCF × LCM
Calculation:
Let the numbers be 3x and 4x
Here x is the HCF of the two numbers
Now,
3x × 4x = 480 × x
⇒ 12x2 = 480x
⇒ x = 40
So, HCF of the numbers = 40
∴ Their HCF is 40.
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