Greatest Common Factor of 6750/37, 5882/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6750/37, 5882/710

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 6750/37,5882/710

Given fractions are 6750/37,5882/710

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 6750,5882

Greatest Common Factor of Numerators i.e. GCF of 6750,5882 is 2 .

LCM of Denominators means LCM of 37,710 as per the given fractions.

LCM of 37,710 is 26270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6750,5882

GCF of Fractions 6750/37,5882/710 is 2/26270

2 6750, 5882
3375, 2941

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

Greatest Common Factor of 6750,5882 By Matching Biggest Common Factor Method

Greatest Common Factor of 6750,5882 By Matching Biggest Common Factor Method

Factors of 6750

List of positive integer factors of 6750 that divides 6750 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750

Factors of 5882

List of positive integer factors of 5882 that divides 5882 without a remainder.

1,2,17,34,173,346,2941,5882

Greatest Common Factor

We found the factors 6750,5882 . The biggest common factor number is the GCF number.
So the greatest common factor 6750,5882 is 2.

Lets's calculate LCM of 37,710

Given numbers has no common factors except 1. So, there LCM is their product i.e 26270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26270

Therefore, the GCF of Fractions 6750/37,5882/710 is 2/26270

Least Common Multiple of 37,710 with GCF Formula

Least Common Multiple of 37,710 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 37,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,710) = 1

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

GCF(37,710) x common factors =1 x 1 = 1

LCM(37,710) = ( 37 × 710 ) / 1

LCM(37,710) = 26270 / 1

LCM(37,710) = 26270


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 6750/37, 5882/710

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 6750/37, 5882/710?

Answer: GCF of Numerators as per given numbers 6750/37, 5882/710 is

GCF of Numerators i.e. for 6750,5882 is 2

LCM of denominators i.e. for 37,710 is 26270.

Thus, GCF of Fractions is 2/26270.Finally, GCF of Fractions for 6750/37, 5882/710 is 2/26270.