Question
Download Solution PDFThe L.C.M. of three different numbers is 400. Which of the following number cannot be their H.C.F.?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The L.C.M. of three different numbers is 400.
Calculation:
To determine which of these numbers cannot be the H.C.F., we must check which of these numbers do not divide 400.
- 400 ÷ 16 = 25 (16 is a factor of 400)
- 400 ÷ 20 = 20 (20 is a factor of 400)
- 400 ÷ 25 = 16 (25 is a factor of 400)
- 400 ÷ 45 does not result in a whole number (45 is not a factor of 400)
∴ 45 cannot be the HCF.
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