Greatest Common Factor of 5644/38, 7268/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5644/38, 7268/564

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 5644/38,7268/564

Given fractions are 5644/38,7268/564

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 5644,7268

Greatest Common Factor of Numerators i.e. GCF of 5644,7268 is 4 .

LCM of Denominators means LCM of 38,564 as per the given fractions.

LCM of 38,564 is 10716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5644,7268

GCF of Fractions 5644/38,7268/564 is 4/10716

2 5644, 7268
2 2822, 3634
1411, 1817

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5644,7268 By Matching Biggest Common Factor Method

Greatest Common Factor of 5644,7268 By Matching Biggest Common Factor Method

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Factors of 7268

List of positive integer factors of 7268 that divides 7268 without a remainder.

1,2,4,23,46,79,92,158,316,1817,3634,7268

Greatest Common Factor

We found the factors 5644,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 5644,7268 is 4.

Lets's calculate LCM of 38,564

2 38, 564
19, 282

∴ So the LCM of the given numbers is 2 x 19 x 282 = 10716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10716

Therefore, the GCF of Fractions 5644/38,7268/564 is 4/10716

Least Common Multiple of 38,564 with GCF Formula

Least Common Multiple of 38,564 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 38,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,564) = 2

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

GCF(38,564) x common factors =2 x 1 = 2

LCM(38,564) = ( 38 × 564 ) / 2

LCM(38,564) = 21432 / 2

LCM(38,564) = 10716


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 5644/38, 7268/564

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 5644/38, 7268/564?

Answer: GCF of Numerators as per given numbers 5644/38, 7268/564 is

GCF of Numerators i.e. for 5644,7268 is 4

LCM of denominators i.e. for 38,564 is 10716.

Thus, GCF of Fractions is 4/10716.Finally, GCF of Fractions for 5644/38, 7268/564 is 4/10716.