Find H.C.F. of 3/5, 0.36, 0.24

Concept

In a problem that mixes fractions and decimals, the H.C.F. is found by first writing every number as a decimal with the same number of decimal places, then finding the H.C.F. of the resulting whole numbers, and finally restoring the decimal point using that same number of places.

Applying it here

1. Convert the fraction to a decimal: 3/5 = 0.60

2. Write every value to the same number of decimal places (2 places): 0.60, 0.36, 0.24

3. Drop the decimal point and find the H.C.F. of the whole numbers 60, 36 and 24 using prime factorisation:

   • 60 = 22 × 3 × 5

   • 36 = 22 × 32

   • 24 = 23 × 3

   • Common factors = 22 × 3 = 12

4. Restore the decimal point using 2 places: H.C.F. = 0.12

Cross-check

0.12 divides each of 0.60, 0.36 and 0.24 exactly (0.60 ÷ 0.12 = 5, 0.36 ÷ 0.12 = 3, 0.24 ÷ 0.12 = 2), confirming that 0.12 is indeed the highest common factor of the three values.

Result

0.12 does not appear among the given numeric options, so the correct choice is “None of the above”.