Greatest Common Factor of 7250/78, 1596/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7250/78, 1596/652

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 7250/78,1596/652

Given fractions are 7250/78,1596/652

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 7250,1596

Greatest Common Factor of Numerators i.e. GCF of 7250,1596 is 2 .

LCM of Denominators means LCM of 78,652 as per the given fractions.

LCM of 78,652 is 25428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7250,1596

GCF of Fractions 7250/78,1596/652 is 2/25428

2 7250, 1596
3625, 798

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

Greatest Common Factor of 7250,1596 By Matching Biggest Common Factor Method

Greatest Common Factor of 7250,1596 By Matching Biggest Common Factor Method

Factors of 7250

List of positive integer factors of 7250 that divides 7250 without a remainder.

1,2,5,10,25,29,50,58,125,145,250,290,725,1450,3625,7250

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors 7250,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 7250,1596 is 2.

Lets's calculate LCM of 78,652

2 78, 652
39, 326

∴ So the LCM of the given numbers is 2 x 39 x 326 = 25428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25428

Therefore, the GCF of Fractions 7250/78,1596/652 is 2/25428

Least Common Multiple of 78,652 with GCF Formula

Least Common Multiple of 78,652 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 78,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,652) = 2

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

GCF(78,652) x common factors =2 x 1 = 2

LCM(78,652) = ( 78 × 652 ) / 2

LCM(78,652) = 50856 / 2

LCM(78,652) = 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 7250/78, 1596/652

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 7250/78, 1596/652?

Answer: GCF of Numerators as per given numbers 7250/78, 1596/652 is

GCF of Numerators i.e. for 7250,1596 is 2

LCM of denominators i.e. for 78,652 is 25428.

Thus, GCF of Fractions is 2/25428.Finally, GCF of Fractions for 7250/78, 1596/652 is 2/25428.