Greatest Common Factor of 7675/753, 6146/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7675/753, 6146/882

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 7675/753,6146/882

Given fractions are 7675/753,6146/882

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 7675,6146

Greatest Common Factor of Numerators i.e. GCF of 7675,6146 is 1 .

LCM of Denominators means LCM of 753,882 as per the given fractions.

LCM of 753,882 is 221382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7675,6146

GCF of Fractions 7675/753,6146/882 is 1/221382

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

Greatest Common Factor of 7675,6146 By Matching Biggest Common Factor Method

Greatest Common Factor of 7675,6146 By Matching Biggest Common Factor Method

Factors of 7675

List of positive integer factors of 7675 that divides 7675 without a remainder.

1,5,25,307,1535,7675

Factors of 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1,2,7,14,439,878,3073,6146

Greatest Common Factor

We found the factors 7675,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,6146 is 1.

Lets's calculate LCM of 753,882

3 753, 882
251, 294

∴ So the LCM of the given numbers is 3 x 251 x 294 = 221382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221382

Therefore, the GCF of Fractions 7675/753,6146/882 is 1/221382

Least Common Multiple of 753,882 with GCF Formula

Least Common Multiple of 753,882 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 753,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,882) = 3

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

GCF(753,882) x common factors =3 x 1 = 3

LCM(753,882) = ( 753 × 882 ) / 3

LCM(753,882) = 664146 / 3

LCM(753,882) = 221382


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 7675/753, 6146/882

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 7675/753, 6146/882?

Answer: GCF of Numerators as per given numbers 7675/753, 6146/882 is

GCF of Numerators i.e. for 7675,6146 is 1

LCM of denominators i.e. for 753,882 is 221382.

Thus, GCF of Fractions is 1/221382.Finally, GCF of Fractions for 7675/753, 6146/882 is 1/221382.