Greatest Common Factor of 7290/84, 3936/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7290/84, 3936/254

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 7290/84,3936/254

Given fractions are 7290/84,3936/254

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 7290,3936

Greatest Common Factor of Numerators i.e. GCF of 7290,3936 is 6 .

LCM of Denominators means LCM of 84,254 as per the given fractions.

LCM of 84,254 is 10668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7290,3936

GCF of Fractions 7290/84,3936/254 is 6/10668

2 7290, 3936
3 3645, 1968
1215, 656

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7290,3936 By Matching Biggest Common Factor Method

Greatest Common Factor of 7290,3936 By Matching Biggest Common Factor Method

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Factors of 3936

List of positive integer factors of 3936 that divides 3936 without a remainder.

1,2,3,4,6,8,12,16,24,32,41,48,82,96,123,164,246,328,492,656,984,1312,1968,3936

Greatest Common Factor

We found the factors 7290,3936 . The biggest common factor number is the GCF number.
So the greatest common factor 7290,3936 is 6.

Lets's calculate LCM of 84,254

2 84, 254
42, 127

∴ So the LCM of the given numbers is 2 x 42 x 127 = 10668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10668

Therefore, the GCF of Fractions 7290/84,3936/254 is 6/10668

Least Common Multiple of 84,254 with GCF Formula

Least Common Multiple of 84,254 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 84,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,254) = 2

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

GCF(84,254) x common factors =2 x 1 = 2

LCM(84,254) = ( 84 × 254 ) / 2

LCM(84,254) = 21336 / 2

LCM(84,254) = 10668


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 7290/84, 3936/254

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 7290/84, 3936/254?

Answer: GCF of Numerators as per given numbers 7290/84, 3936/254 is

GCF of Numerators i.e. for 7290,3936 is 6

LCM of denominators i.e. for 84,254 is 10668.

Thus, GCF of Fractions is 6/10668.Finally, GCF of Fractions for 7290/84, 3936/254 is 6/10668.