Greatest Common Factor of 4782/86, 7382/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4782/86, 7382/129

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 4782/86,7382/129

Given fractions are 4782/86,7382/129

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 4782,7382

Greatest Common Factor of Numerators i.e. GCF of 4782,7382 is 2 .

LCM of Denominators means LCM of 86,129 as per the given fractions.

LCM of 86,129 is 258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4782,7382

GCF of Fractions 4782/86,7382/129 is 2/258

2 4782, 7382
2391, 3691

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

Greatest Common Factor of 4782,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 4782,7382 By Matching Biggest Common Factor Method

Factors of 4782

List of positive integer factors of 4782 that divides 4782 without a remainder.

1,2,3,6,797,1594,2391,4782

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 4782,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 4782,7382 is 2.

Lets's calculate LCM of 86,129

43 86, 129
2, 3

∴ So the LCM of the given numbers is 43 x 2 x 3 = 258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/258

Therefore, the GCF of Fractions 4782/86,7382/129 is 2/258

Least Common Multiple of 86,129 with GCF Formula

Least Common Multiple of 86,129 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 86,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,129) = 43

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

GCF(86,129) x common factors =43 x 1 = 43

LCM(86,129) = ( 86 × 129 ) / 43

LCM(86,129) = 11094 / 43

LCM(86,129) = 258


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 4782/86, 7382/129

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 4782/86, 7382/129?

Answer: GCF of Numerators as per given numbers 4782/86, 7382/129 is

GCF of Numerators i.e. for 4782,7382 is 2

LCM of denominators i.e. for 86,129 is 258.

Thus, GCF of Fractions is 2/258.Finally, GCF of Fractions for 4782/86, 7382/129 is 2/258.