Greatest Common Factor of 24/75, 102/52, 238/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/75, 102/52, 238/643

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 24/75,102/52,238/643

Given fractions are 24/75,102/52,238/643

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 24,102,238

Greatest Common Factor of Numerators i.e. GCF of 24,102,238 is 2 .

LCM of Denominators means LCM of 75,52,643 as per the given fractions.

LCM of 75,52,643 is 2507700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,102,238

GCF of Fractions 24/75,102/52,238/643 is 2/2507700

2 24, 102, 238
12, 51, 119

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

Greatest Common Factor of 24,102,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,102,238 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 24,102,238 . The biggest common factor number is the GCF number.
So the greatest common factor 24,102,238 is 2.

Lets's calculate LCM of 75,52,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 2507700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2507700

Therefore, the GCF of Fractions 24/75,102/52,238/643 is 2/2507700

Least Common Multiple of 75,52,643 with GCF Formula

Least Common Multiple of 75,52,643 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 75,52,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,52,643) = 1

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

GCF(75,52,643) x common factors =1 x 1 = 1

LCM(75,52,643) = ( 75 × 52 × 643 ) / 1

LCM(75,52,643) = 2507700 / 1

LCM(75,52,643) = 2507700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 24/75, 102/52, 238/643

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 24/75, 102/52, 238/643?

Answer: GCF of Numerators as per given numbers 24/75, 102/52, 238/643 is

GCF of Numerators i.e. for 24,102,238 is 2

LCM of denominators i.e. for 75,52,643 is 2507700.

Thus, GCF of Fractions is 2/2507700.Finally, GCF of Fractions for 24/75, 102/52, 238/643 is 2/2507700.