Greatest Common Factor of 9516/624, 2859/5210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9516/624, 2859/5210

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 9516/624,2859/5210

Given fractions are 9516/624,2859/5210

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 9516,2859

Greatest Common Factor of Numerators i.e. GCF of 9516,2859 is 3 .

LCM of Denominators means LCM of 624,5210 as per the given fractions.

LCM of 624,5210 is 1625520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9516,2859

GCF of Fractions 9516/624,2859/5210 is 3/1625520

3 9516, 2859
3172, 953

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9516,2859 By Matching Biggest Common Factor Method

Greatest Common Factor of 9516,2859 By Matching Biggest Common Factor Method

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Factors of 2859

List of positive integer factors of 2859 that divides 2859 without a remainder.

1,3,953,2859

Greatest Common Factor

We found the factors 9516,2859 . The biggest common factor number is the GCF number.
So the greatest common factor 9516,2859 is 3.

Lets's calculate LCM of 624,5210

2 624, 5210
312, 2605

∴ So the LCM of the given numbers is 2 x 312 x 2605 = 1625520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1625520

Therefore, the GCF of Fractions 9516/624,2859/5210 is 3/1625520

Least Common Multiple of 624,5210 with GCF Formula

Least Common Multiple of 624,5210 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 624,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,5210) = 2

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

GCF(624,5210) x common factors =2 x 1 = 2

LCM(624,5210) = ( 624 × 5210 ) / 2

LCM(624,5210) = 3251040 / 2

LCM(624,5210) = 1625520


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 9516/624, 2859/5210

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 9516/624, 2859/5210?

Answer: GCF of Numerators as per given numbers 9516/624, 2859/5210 is

GCF of Numerators i.e. for 9516,2859 is 3

LCM of denominators i.e. for 624,5210 is 1625520.

Thus, GCF of Fractions is 3/1625520.Finally, GCF of Fractions for 9516/624, 2859/5210 is 3/1625520.