Greatest Common Factor of 2704/889, 9637/7839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2704/889, 9637/7839

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 2704/889,9637/7839

Given fractions are 2704/889,9637/7839

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 2704,9637

Greatest Common Factor of Numerators i.e. GCF of 2704,9637 is 1 .

LCM of Denominators means LCM of 889,7839 as per the given fractions.

LCM of 889,7839 is 6968871 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2704,9637

GCF of Fractions 2704/889,9637/7839 is 1/6968871

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

Greatest Common Factor of 2704,9637 By Matching Biggest Common Factor Method

Greatest Common Factor of 2704,9637 By Matching Biggest Common Factor Method

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Factors of 9637

List of positive integer factors of 9637 that divides 9637 without a remainder.

1,23,419,9637

Greatest Common Factor

We found the factors 2704,9637 . The biggest common factor number is the GCF number.
So the greatest common factor 2704,9637 is 1.


Lets's calculate LCM of 889,7839

Given numbers has no common factors except 1. So, there LCM is their product i.e 6968871

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6968871

Therefore, the GCF of Fractions 2704/889,9637/7839 is 1/6968871

Least Common Multiple of 889,7839 with GCF Formula

Least Common Multiple of 889,7839 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 889,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,7839) = 1

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

GCF(889,7839) x common factors =1 x 1 = 1

LCM(889,7839) = ( 889 × 7839 ) / 1

LCM(889,7839) = 6968871 / 1

LCM(889,7839) = 6968871


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2704/889, 9637/7839

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 2704/889, 9637/7839?

Answer: GCF of Numerators as per given numbers 2704/889, 9637/7839 is

GCF of Numerators i.e. for 2704,9637 is 1

LCM of denominators i.e. for 889,7839 is 6968871.

Thus, GCF of Fractions is 1/6968871.Finally, GCF of Fractions for 2704/889, 9637/7839 is 1/6968871.