Greatest Common Factor of 74/38, 96/31, 232/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/38, 96/31, 232/43

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 74/38,96/31,232/43

Given fractions are 74/38,96/31,232/43

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 74,96,232

Greatest Common Factor of Numerators i.e. GCF of 74,96,232 is 2 .

LCM of Denominators means LCM of 38,31,43 as per the given fractions.

LCM of 38,31,43 is 50654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,96,232

GCF of Fractions 74/38,96/31,232/43 is 2/50654

2 74, 96, 232
37, 48, 116

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 74,96,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,96,232 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 74,96,232 . The biggest common factor number is the GCF number.
So the greatest common factor 74,96,232 is 2.

Lets's calculate LCM of 38,31,43

Given numbers has no common factors except 1. So, there LCM is their product i.e 50654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/50654

Therefore, the GCF of Fractions 74/38,96/31,232/43 is 2/50654

Least Common Multiple of 38,31,43 with GCF Formula

Least Common Multiple of 38,31,43 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,31,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,31,43) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,31,43) x common factors =1 x 1 = 1

LCM(38,31,43) = ( 38 × 31 × 43 ) / 1

LCM(38,31,43) = 50654 / 1

LCM(38,31,43) = 50654


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 74/38, 96/31, 232/43

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 74/38, 96/31, 232/43?

Answer: GCF of Numerators as per given numbers 74/38, 96/31, 232/43 is

GCF of Numerators i.e. for 74,96,232 is 2

LCM of denominators i.e. for 38,31,43 is 50654.

Thus, GCF of Fractions is 2/50654.Finally, GCF of Fractions for 74/38, 96/31, 232/43 is 2/50654.