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Q: Three numbers are in the ratio 4 : 5 : 7, and their LCM is 5600. Their HCF is :
  • A. 40
  • B. 10
  • C. 20
  • D. 30
Correct Answer: Option A - Let, three numbers = 4x, 5x, 7x LCM = 140x HCF = x According to the question, 140x = 5600 x = 40 Hence, HCF of the number = 40
A. Let, three numbers = 4x, 5x, 7x LCM = 140x HCF = x According to the question, 140x = 5600 x = 40 Hence, HCF of the number = 40

Explanations:

Let, three numbers = 4x, 5x, 7x LCM = 140x HCF = x According to the question, 140x = 5600 x = 40 Hence, HCF of the number = 40