Greatest Common Factor of 1062/82, 4978/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1062/82, 4978/876

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 1062/82,4978/876

Given fractions are 1062/82,4978/876

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 1062,4978

Greatest Common Factor of Numerators i.e. GCF of 1062,4978 is 2 .

LCM of Denominators means LCM of 82,876 as per the given fractions.

LCM of 82,876 is 35916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1062,4978

GCF of Fractions 1062/82,4978/876 is 2/35916

2 1062, 4978
531, 2489

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

Greatest Common Factor of 1062,4978 By Matching Biggest Common Factor Method

Greatest Common Factor of 1062,4978 By Matching Biggest Common Factor Method

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1,2,3,6,9,18,59,118,177,354,531,1062

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1,2,19,38,131,262,2489,4978

Greatest Common Factor

We found the factors 1062,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 1062,4978 is 2.

Lets's calculate LCM of 82,876

2 82, 876
41, 438

∴ So the LCM of the given numbers is 2 x 41 x 438 = 35916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35916

Therefore, the GCF of Fractions 1062/82,4978/876 is 2/35916

Least Common Multiple of 82,876 with GCF Formula

Least Common Multiple of 82,876 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 82,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,876) = 2

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

GCF(82,876) x common factors =2 x 1 = 2

LCM(82,876) = ( 82 × 876 ) / 2

LCM(82,876) = 71832 / 2

LCM(82,876) = 35916


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 1062/82, 4978/876

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 1062/82, 4978/876?

Answer: GCF of Numerators as per given numbers 1062/82, 4978/876 is

GCF of Numerators i.e. for 1062,4978 is 2

LCM of denominators i.e. for 82,876 is 35916.

Thus, GCF of Fractions is 2/35916.Finally, GCF of Fractions for 1062/82, 4978/876 is 2/35916.