Greatest Common Factor of 8502/260, 4147/3016

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8502/260, 4147/3016

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 8502/260,4147/3016

Given fractions are 8502/260,4147/3016

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 8502,4147

Greatest Common Factor of Numerators i.e. GCF of 8502,4147 is 13 .

LCM of Denominators means LCM of 260,3016 as per the given fractions.

LCM of 260,3016 is 15080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8502,4147

GCF of Fractions 8502/260,4147/3016 is 13/15080

13 8502, 4147
654, 319

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8502,4147 By Matching Biggest Common Factor Method

Greatest Common Factor of 8502,4147 By Matching Biggest Common Factor Method

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Factors of 4147

List of positive integer factors of 4147 that divides 4147 without a remainder.

1,11,13,29,143,319,377,4147

Greatest Common Factor

We found the factors 8502,4147 . The biggest common factor number is the GCF number.
So the greatest common factor 8502,4147 is 13.

Lets's calculate LCM of 260,3016

2 260, 3016
2 130, 1508
13 65, 754
5, 58

∴ So the LCM of the given numbers is 2 x 2 x 13 x 5 x 58 = 15080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15080

Therefore, the GCF of Fractions 8502/260,4147/3016 is 13/15080

Least Common Multiple of 260,3016 with GCF Formula

Least Common Multiple of 260,3016 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 260,3016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,3016) = 52

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

GCF(260,3016) x common factors =52 x 1 = 52

LCM(260,3016) = ( 260 × 3016 ) / 52

LCM(260,3016) = 784160 / 52

LCM(260,3016) = 15080


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 8502/260, 4147/3016

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 8502/260, 4147/3016?

Answer: GCF of Numerators as per given numbers 8502/260, 4147/3016 is

GCF of Numerators i.e. for 8502,4147 is 13

LCM of denominators i.e. for 260,3016 is 15080.

Thus, GCF of Fractions is 13/15080.Finally, GCF of Fractions for 8502/260, 4147/3016 is 13/15080.