Greatest Common Factor of 750/378, 508/656, 633/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 750/378, 508/656, 633/311

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 750/378,508/656,633/311

Given fractions are 750/378,508/656,633/311

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 750,508,633

Greatest Common Factor of Numerators i.e. GCF of 750,508,633 is 1 .

LCM of Denominators means LCM of 378,656,311 as per the given fractions.

LCM of 378,656,311 is 38559024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 750,508,633

GCF of Fractions 750/378,508/656,633/311 is 1/38559024

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

Greatest Common Factor of 750,508,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,508,633 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 750,508,633 . The biggest common factor number is the GCF number.
So the greatest common factor 750,508,633 is 1.

Lets's calculate LCM of 378,656,311

2 378, 656, 311
189, 328, 311

∴ So the LCM of the given numbers is 2 x 189 x 328 x 311 = 38559024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38559024

Therefore, the GCF of Fractions 750/378,508/656,633/311 is 1/38559024

Least Common Multiple of 378,656,311 with GCF Formula

Least Common Multiple of 378,656,311 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 378,656,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,656,311) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(378,656,311) x common factors =1 x 2 = 2

LCM(378,656,311) = ( 378 × 656 × 311 ) / 2

LCM(378,656,311) = 77118048 / 2

LCM(378,656,311) = 38559024


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 750/378, 508/656, 633/311

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 750/378, 508/656, 633/311?

Answer: GCF of Numerators as per given numbers 750/378, 508/656, 633/311 is

GCF of Numerators i.e. for 750,508,633 is 1

LCM of denominators i.e. for 378,656,311 is 38559024.

Thus, GCF of Fractions is 1/38559024.Finally, GCF of Fractions for 750/378, 508/656, 633/311 is 1/38559024.