Find the H.C.F of 3.68 & 5.35

To find the Highest Common Factor (H.C.F.) of decimal numbers like 3.68 and 5.35, the most reliable method is to convert them into fractions in their simplest form.

Step-by-Step Calculation
1. Convert decimals to fractions:

3.68 = 368 / 100. Simplifying by dividing both by 4 gives 92 / 25.

5.35 = 535 / 100. Simplifying by dividing both by 5 gives 107 / 20.

2. Apply the H.C.F. formula for fractions:
The H.C.F. of fractions is found using:
H.C.F. = (H.C.F. of numerators) / (L.C.M. of denominators)

H.C.F. of numerators (92 and 107):

92 = 2 * 2 * 23

107 is a prime number.

Their only common factor is 1. So, the H.C.F. is 1.

L.C.M. of denominators (25 and 20):

25 = 5 * 5

20 = 2 * 2 * 5

L.C.M. = 2 * 2 * 5 * 5 = 100.

3. Calculate the final H.C.F.:

H.C.F. = 1 / 100 = 0.01.