Question

find the greatest numberof three digits that can be exactly divisible by 45,75 and 60 ​

Answer 1

we have,

45=3×3×5

75=3×5×5

60=3×4×5

So,HCF=3×5=15

HENCE 15 IS THE GREATEST NO. WHICH CAN BE EXACTLY DIVISIBLE BY 45,75 AND 60.

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Answer 2

We have to find the highest common factor or HCF.

45=3×3×5

75=3×5×5

60=2×2×3×5

Common factors=3×5

Therefore hcf is 15.

Hence, the greatest number is 15.