Greatest Common Factor of 869/5108, 982/8252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 869/5108, 982/8252

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 869/5108,982/8252

Given fractions are 869/5108,982/8252

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 869,982

Greatest Common Factor of Numerators i.e. GCF of 869,982 is 1 .

LCM of Denominators means LCM of 5108,8252 as per the given fractions.

LCM of 5108,8252 is 10537804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 869,982

GCF of Fractions 869/5108,982/8252 is 1/10537804

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

Greatest Common Factor of 869,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,982 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 869,982 . The biggest common factor number is the GCF number.
So the greatest common factor 869,982 is 1.

Lets's calculate LCM of 5108,8252

2 5108, 8252
2 2554, 4126
1277, 2063

∴ So the LCM of the given numbers is 2 x 2 x 1277 x 2063 = 10537804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10537804

Therefore, the GCF of Fractions 869/5108,982/8252 is 1/10537804

Least Common Multiple of 5108,8252 with GCF Formula

Least Common Multiple of 5108,8252 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 5108,8252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5108,8252) = 4

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

GCF(5108,8252) x common factors =4 x 1 = 4

LCM(5108,8252) = ( 5108 × 8252 ) / 4

LCM(5108,8252) = 42151216 / 4

LCM(5108,8252) = 10537804


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 869/5108, 982/8252

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 869/5108, 982/8252?

Answer: GCF of Numerators as per given numbers 869/5108, 982/8252 is

GCF of Numerators i.e. for 869,982 is 1

LCM of denominators i.e. for 5108,8252 is 10537804.

Thus, GCF of Fractions is 1/10537804.Finally, GCF of Fractions for 869/5108, 982/8252 is 1/10537804.