Greatest Common Factor of 5676/84, 5472/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5676/84, 5472/187

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 5676/84,5472/187

Given fractions are 5676/84,5472/187

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 5676,5472

Greatest Common Factor of Numerators i.e. GCF of 5676,5472 is 12 .

LCM of Denominators means LCM of 84,187 as per the given fractions.

LCM of 84,187 is 15708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5676,5472

GCF of Fractions 5676/84,5472/187 is 12/15708

2 5676, 5472
2 2838, 2736
3 1419, 1368
473, 456

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5676,5472 By Matching Biggest Common Factor Method

Greatest Common Factor of 5676,5472 By Matching Biggest Common Factor Method

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Greatest Common Factor

We found the factors 5676,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 5676,5472 is 12.

Lets's calculate LCM of 84,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 15708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/15708

Therefore, the GCF of Fractions 5676/84,5472/187 is 12/15708

Least Common Multiple of 84,187 with GCF Formula

Least Common Multiple of 84,187 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 84,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,187) = 1

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

GCF(84,187) x common factors =1 x 1 = 1

LCM(84,187) = ( 84 × 187 ) / 1

LCM(84,187) = 15708 / 1

LCM(84,187) = 15708


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 5676/84, 5472/187

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 5676/84, 5472/187?

Answer: GCF of Numerators as per given numbers 5676/84, 5472/187 is

GCF of Numerators i.e. for 5676,5472 is 12

LCM of denominators i.e. for 84,187 is 15708.

Thus, GCF of Fractions is 12/15708.Finally, GCF of Fractions for 5676/84, 5472/187 is 12/15708.