Greatest Common Factor of 238/96, 754/25, 977/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/96, 754/25, 977/133

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 238/96,754/25,977/133

Given fractions are 238/96,754/25,977/133

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 238,754,977

Greatest Common Factor of Numerators i.e. GCF of 238,754,977 is 1 .

LCM of Denominators means LCM of 96,25,133 as per the given fractions.

LCM of 96,25,133 is 319200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,754,977

GCF of Fractions 238/96,754/25,977/133 is 1/319200

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 238,754,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,754,977 By Matching Biggest Common Factor Method

Factors of 238

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

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

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 238,754,977 . The biggest common factor number is the GCF number.
So the greatest common factor 238,754,977 is 1.

Lets's calculate LCM of 96,25,133

Given numbers has no common factors except 1. So, there LCM is their product i.e 319200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319200

Therefore, the GCF of Fractions 238/96,754/25,977/133 is 1/319200

Least Common Multiple of 96,25,133 with GCF Formula

Least Common Multiple of 96,25,133 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 96,25,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,25,133) = 1

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

GCF(96,25,133) x common factors =1 x 1 = 1

LCM(96,25,133) = ( 96 × 25 × 133 ) / 1

LCM(96,25,133) = 319200 / 1

LCM(96,25,133) = 319200


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 238/96, 754/25, 977/133

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 238/96, 754/25, 977/133?

Answer: GCF of Numerators as per given numbers 238/96, 754/25, 977/133 is

GCF of Numerators i.e. for 238,754,977 is 1

LCM of denominators i.e. for 96,25,133 is 319200.

Thus, GCF of Fractions is 1/319200.Finally, GCF of Fractions for 238/96, 754/25, 977/133 is 1/319200.