Greatest Common Factor of 5424/64, 6861/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5424/64, 6861/112

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 5424/64,6861/112

Given fractions are 5424/64,6861/112

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 5424,6861

Greatest Common Factor of Numerators i.e. GCF of 5424,6861 is 3 .

LCM of Denominators means LCM of 64,112 as per the given fractions.

LCM of 64,112 is 448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5424,6861

GCF of Fractions 5424/64,6861/112 is 3/448

3 5424, 6861
1808, 2287

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

Greatest Common Factor of 5424,6861 By Matching Biggest Common Factor Method

Greatest Common Factor of 5424,6861 By Matching Biggest Common Factor Method

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Factors of 6861

List of positive integer factors of 6861 that divides 6861 without a remainder.

1,3,2287,6861

Greatest Common Factor

We found the factors 5424,6861 . The biggest common factor number is the GCF number.
So the greatest common factor 5424,6861 is 3.

Lets's calculate LCM of 64,112

2 64, 112
2 32, 56
2 16, 28
2 8, 14
4, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 7 = 448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/448

Therefore, the GCF of Fractions 5424/64,6861/112 is 3/448

Least Common Multiple of 64,112 with GCF Formula

Least Common Multiple of 64,112 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 64,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,112) = 16

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

GCF(64,112) x common factors =16 x 1 = 16

LCM(64,112) = ( 64 × 112 ) / 16

LCM(64,112) = 7168 / 16

LCM(64,112) = 448


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 5424/64, 6861/112

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 5424/64, 6861/112?

Answer: GCF of Numerators as per given numbers 5424/64, 6861/112 is

GCF of Numerators i.e. for 5424,6861 is 3

LCM of denominators i.e. for 64,112 is 448.

Thus, GCF of Fractions is 3/448.Finally, GCF of Fractions for 5424/64, 6861/112 is 3/448.