Greatest Common Factor of 76/235, 87/655, 309/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/235, 87/655, 309/786

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 76/235,87/655,309/786

Given fractions are 76/235,87/655,309/786

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 76,87,309

Greatest Common Factor of Numerators i.e. GCF of 76,87,309 is 1 .

LCM of Denominators means LCM of 235,655,786 as per the given fractions.

LCM of 235,655,786 is 184710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,87,309

GCF of Fractions 76/235,87/655,309/786 is 1/184710

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

Greatest Common Factor of 76,87,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,87,309 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 76,87,309 . The biggest common factor number is the GCF number.
So the greatest common factor 76,87,309 is 1.

Lets's calculate LCM of 235,655,786

5 235, 655, 786
131 47, 131, 786
47, 1, 6

∴ So the LCM of the given numbers is 5 x 131 x 47 x 1 x 6 = 184710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184710

Therefore, the GCF of Fractions 76/235,87/655,309/786 is 1/184710

Least Common Multiple of 235,655,786 with GCF Formula

Least Common Multiple of 235,655,786 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 235,655,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,655,786) = 1

common factors(in case of two or more numbers have common factors) = 655

GCF(235,655,786) x common factors =1 x 655 = 655

LCM(235,655,786) = ( 235 × 655 × 786 ) / 655

LCM(235,655,786) = 120985050 / 655

LCM(235,655,786) = 184710


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 76/235, 87/655, 309/786

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 76/235, 87/655, 309/786?

Answer: GCF of Numerators as per given numbers 76/235, 87/655, 309/786 is

GCF of Numerators i.e. for 76,87,309 is 1

LCM of denominators i.e. for 235,655,786 is 184710.

Thus, GCF of Fractions is 1/184710.Finally, GCF of Fractions for 76/235, 87/655, 309/786 is 1/184710.