Greatest Common Factor of 2747/565, 6478/1380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2747/565, 6478/1380

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 2747/565,6478/1380

Given fractions are 2747/565,6478/1380

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 2747,6478

Greatest Common Factor of Numerators i.e. GCF of 2747,6478 is 41 .

LCM of Denominators means LCM of 565,1380 as per the given fractions.

LCM of 565,1380 is 155940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2747,6478

GCF of Fractions 2747/565,6478/1380 is 41/155940

41 2747, 6478
67, 158

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 2747,6478 By Matching Biggest Common Factor Method

Greatest Common Factor of 2747,6478 By Matching Biggest Common Factor Method

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1,41,67,2747

Factors of 6478

List of positive integer factors of 6478 that divides 6478 without a remainder.

1,2,41,79,82,158,3239,6478

Greatest Common Factor

We found the factors 2747,6478 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,6478 is 41.

Lets's calculate LCM of 565,1380

5 565, 1380
113, 276

∴ So the LCM of the given numbers is 5 x 113 x 276 = 155940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/155940

Therefore, the GCF of Fractions 2747/565,6478/1380 is 41/155940

Least Common Multiple of 565,1380 with GCF Formula

Least Common Multiple of 565,1380 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 565,1380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,1380) = 5

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

GCF(565,1380) x common factors =5 x 1 = 5

LCM(565,1380) = ( 565 × 1380 ) / 5

LCM(565,1380) = 779700 / 5

LCM(565,1380) = 155940


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 2747/565, 6478/1380

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 2747/565, 6478/1380?

Answer: GCF of Numerators as per given numbers 2747/565, 6478/1380 is

GCF of Numerators i.e. for 2747,6478 is 41

LCM of denominators i.e. for 565,1380 is 155940.

Thus, GCF of Fractions is 41/155940.Finally, GCF of Fractions for 2747/565, 6478/1380 is 41/155940.