Greatest Common Factor of 376/75, 950/64, 679/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/75, 950/64, 679/858

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 376/75,950/64,679/858

Given fractions are 376/75,950/64,679/858

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 376,950,679

Greatest Common Factor of Numerators i.e. GCF of 376,950,679 is 1 .

LCM of Denominators means LCM of 75,64,858 as per the given fractions.

LCM of 75,64,858 is 686400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,950,679

GCF of Fractions 376/75,950/64,679/858 is 1/686400

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

Greatest Common Factor of 376,950,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,950,679 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 376,950,679 . The biggest common factor number is the GCF number.
So the greatest common factor 376,950,679 is 1.

Lets's calculate LCM of 75,64,858

2 75, 64, 858
3 75, 32, 429
25, 32, 143

∴ So the LCM of the given numbers is 2 x 3 x 25 x 32 x 143 = 686400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686400

Therefore, the GCF of Fractions 376/75,950/64,679/858 is 1/686400

Least Common Multiple of 75,64,858 with GCF Formula

Least Common Multiple of 75,64,858 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 75,64,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,64,858) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,64,858) x common factors =1 x 6 = 6

LCM(75,64,858) = ( 75 × 64 × 858 ) / 6

LCM(75,64,858) = 4118400 / 6

LCM(75,64,858) = 686400


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 376/75, 950/64, 679/858

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 376/75, 950/64, 679/858?

Answer: GCF of Numerators as per given numbers 376/75, 950/64, 679/858 is

GCF of Numerators i.e. for 376,950,679 is 1

LCM of denominators i.e. for 75,64,858 is 686400.

Thus, GCF of Fractions is 1/686400.Finally, GCF of Fractions for 376/75, 950/64, 679/858 is 1/686400.