Greatest Common Factor of 7380/52, 6725/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7380/52, 6725/978

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 7380/52,6725/978

Given fractions are 7380/52,6725/978

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 7380,6725

Greatest Common Factor of Numerators i.e. GCF of 7380,6725 is 5 .

LCM of Denominators means LCM of 52,978 as per the given fractions.

LCM of 52,978 is 25428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7380,6725

GCF of Fractions 7380/52,6725/978 is 5/25428

5 7380, 6725
1476, 1345

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7380,6725 By Matching Biggest Common Factor Method

Greatest Common Factor of 7380,6725 By Matching Biggest Common Factor Method

Factors of 7380

List of positive integer factors of 7380 that divides 7380 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,41,45,60,82,90,123,164,180,205,246,369,410,492,615,738,820,1230,1476,1845,2460,3690,7380

Factors of 6725

List of positive integer factors of 6725 that divides 6725 without a remainder.

1,5,25,269,1345,6725

Greatest Common Factor

We found the factors 7380,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 7380,6725 is 5.

Lets's calculate LCM of 52,978

2 52, 978
26, 489

∴ So the LCM of the given numbers is 2 x 26 x 489 = 25428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25428

Therefore, the GCF of Fractions 7380/52,6725/978 is 5/25428

Least Common Multiple of 52,978 with GCF Formula

Least Common Multiple of 52,978 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 52,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,978) = 2

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

GCF(52,978) x common factors =2 x 1 = 2

LCM(52,978) = ( 52 × 978 ) / 2

LCM(52,978) = 50856 / 2

LCM(52,978) = 25428


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 7380/52, 6725/978

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 7380/52, 6725/978?

Answer: GCF of Numerators as per given numbers 7380/52, 6725/978 is

GCF of Numerators i.e. for 7380,6725 is 5

LCM of denominators i.e. for 52,978 is 25428.

Thus, GCF of Fractions is 5/25428.Finally, GCF of Fractions for 7380/52, 6725/978 is 5/25428.