Greatest Common Factor of 5082/920, 7488/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5082/920, 7488/378

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 5082/920,7488/378

Given fractions are 5082/920,7488/378

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 5082,7488

Greatest Common Factor of Numerators i.e. GCF of 5082,7488 is 6 .

LCM of Denominators means LCM of 920,378 as per the given fractions.

LCM of 920,378 is 173880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5082,7488

GCF of Fractions 5082/920,7488/378 is 6/173880

2 5082, 7488
3 2541, 3744
847, 1248

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

Greatest Common Factor of 5082,7488 By Matching Biggest Common Factor Method

Greatest Common Factor of 5082,7488 By Matching Biggest Common Factor Method

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,121,154,231,242,363,462,726,847,1694,2541,5082

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors 5082,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 5082,7488 is 6.

Lets's calculate LCM of 920,378

2 920, 378
460, 189

∴ So the LCM of the given numbers is 2 x 460 x 189 = 173880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/173880

Therefore, the GCF of Fractions 5082/920,7488/378 is 6/173880

Least Common Multiple of 920,378 with GCF Formula

Least Common Multiple of 920,378 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 920,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,378) = 2

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

GCF(920,378) x common factors =2 x 1 = 2

LCM(920,378) = ( 920 × 378 ) / 2

LCM(920,378) = 347760 / 2

LCM(920,378) = 173880


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 5082/920, 7488/378

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 5082/920, 7488/378?

Answer: GCF of Numerators as per given numbers 5082/920, 7488/378 is

GCF of Numerators i.e. for 5082,7488 is 6

LCM of denominators i.e. for 920,378 is 173880.

Thus, GCF of Fractions is 6/173880.Finally, GCF of Fractions for 5082/920, 7488/378 is 6/173880.