Greatest Common Factor of 8658/971, 4988/5141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8658/971, 4988/5141

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 8658/971,4988/5141

Given fractions are 8658/971,4988/5141

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 8658,4988

Greatest Common Factor of Numerators i.e. GCF of 8658,4988 is 2 .

LCM of Denominators means LCM of 971,5141 as per the given fractions.

LCM of 971,5141 is 4991911 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8658,4988

GCF of Fractions 8658/971,4988/5141 is 2/4991911

2 8658, 4988
4329, 2494

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

Greatest Common Factor of 8658,4988 By Matching Biggest Common Factor Method

Greatest Common Factor of 8658,4988 By Matching Biggest Common Factor Method

Factors of 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1,2,4,29,43,58,86,116,172,1247,2494,4988

Greatest Common Factor

We found the factors 8658,4988 . The biggest common factor number is the GCF number.
So the greatest common factor 8658,4988 is 2.

Lets's calculate LCM of 971,5141

Given numbers has no common factors except 1. So, there LCM is their product i.e 4991911

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4991911

Therefore, the GCF of Fractions 8658/971,4988/5141 is 2/4991911

Least Common Multiple of 971,5141 with GCF Formula

Least Common Multiple of 971,5141 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 971,5141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,5141) = 1

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

GCF(971,5141) x common factors =1 x 1 = 1

LCM(971,5141) = ( 971 × 5141 ) / 1

LCM(971,5141) = 4991911 / 1

LCM(971,5141) = 4991911


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 8658/971, 4988/5141

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 8658/971, 4988/5141?

Answer: GCF of Numerators as per given numbers 8658/971, 4988/5141 is

GCF of Numerators i.e. for 8658,4988 is 2

LCM of denominators i.e. for 971,5141 is 4991911.

Thus, GCF of Fractions is 2/4991911.Finally, GCF of Fractions for 8658/971, 4988/5141 is 2/4991911.