Greatest Common Factor of 2556/13, 5499/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2556/13, 5499/351

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 2556/13,5499/351

Given fractions are 2556/13,5499/351

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 2556,5499

Greatest Common Factor of Numerators i.e. GCF of 2556,5499 is 9 .

LCM of Denominators means LCM of 13,351 as per the given fractions.

LCM of 13,351 is 351 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2556,5499

GCF of Fractions 2556/13,5499/351 is 9/351

3 2556, 5499
3 852, 1833
284, 611

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2556,5499 By Matching Biggest Common Factor Method

Greatest Common Factor of 2556,5499 By Matching Biggest Common Factor Method

Factors of 2556

List of positive integer factors of 2556 that divides 2556 without a remainder.

1,2,3,4,6,9,12,18,36,71,142,213,284,426,639,852,1278,2556

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Greatest Common Factor

We found the factors 2556,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 2556,5499 is 9.

Lets's calculate LCM of 13,351

13 13, 351
1, 27

∴ So the LCM of the given numbers is 13 x 1 x 27 = 351

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/351

Therefore, the GCF of Fractions 2556/13,5499/351 is 9/351

Least Common Multiple of 13,351 with GCF Formula

Least Common Multiple of 13,351 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 13,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,351) = 13

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

GCF(13,351) x common factors =13 x 1 = 13

LCM(13,351) = ( 13 × 351 ) / 13

LCM(13,351) = 4563 / 13

LCM(13,351) = 351


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 2556/13, 5499/351

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 2556/13, 5499/351?

Answer: GCF of Numerators as per given numbers 2556/13, 5499/351 is

GCF of Numerators i.e. for 2556,5499 is 9

LCM of denominators i.e. for 13,351 is 351.

Thus, GCF of Fractions is 9/351.Finally, GCF of Fractions for 2556/13, 5499/351 is 9/351.