Greatest Common Factor of 7254/236, 1980/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7254/236, 1980/754

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 7254/236,1980/754

Given fractions are 7254/236,1980/754

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 7254,1980

Greatest Common Factor of Numerators i.e. GCF of 7254,1980 is 18 .

LCM of Denominators means LCM of 236,754 as per the given fractions.

LCM of 236,754 is 88972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7254,1980

GCF of Fractions 7254/236,1980/754 is 18/88972

2 7254, 1980
3 3627, 990
3 1209, 330
403, 110

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 7254,1980 By Matching Biggest Common Factor Method

Greatest Common Factor of 7254,1980 By Matching Biggest Common Factor Method

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Factors of 1980

List of positive integer factors of 1980 that divides 1980 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980

Greatest Common Factor

We found the factors 7254,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 7254,1980 is 18.

Lets's calculate LCM of 236,754

2 236, 754
118, 377

∴ So the LCM of the given numbers is 2 x 118 x 377 = 88972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/88972

Therefore, the GCF of Fractions 7254/236,1980/754 is 18/88972

Least Common Multiple of 236,754 with GCF Formula

Least Common Multiple of 236,754 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 236,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,754) = 2

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

GCF(236,754) x common factors =2 x 1 = 2

LCM(236,754) = ( 236 × 754 ) / 2

LCM(236,754) = 177944 / 2

LCM(236,754) = 88972


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 7254/236, 1980/754

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 7254/236, 1980/754?

Answer: GCF of Numerators as per given numbers 7254/236, 1980/754 is

GCF of Numerators i.e. for 7254,1980 is 18

LCM of denominators i.e. for 236,754 is 88972.

Thus, GCF of Fractions is 18/88972.Finally, GCF of Fractions for 7254/236, 1980/754 is 18/88972.