Question
Download Solution PDFThe LCM of two numbers is 40 times its HCF. If the product of the numbers is 1440, find their HCF.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
LCM = 40 times HCF
The product of the numbers is 1440
Formula used:
LCM × HCF = Product of numbers
Calculation:
Let HCF of the number be 'H'
⇒ LCM = 40H
Now,
LCM × HCF = Product of numbers
⇒ 40H × H = 1440
⇒ H2 = 1440/40 = 36
⇒ H = 6
∴ HCF = 6
Last updated on Jul 3, 2025
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