Greatest Common Factor of 2762/932, 4984/5308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2762/932, 4984/5308

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 2762/932,4984/5308

Given fractions are 2762/932,4984/5308

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 2762,4984

Greatest Common Factor of Numerators i.e. GCF of 2762,4984 is 2 .

LCM of Denominators means LCM of 932,5308 as per the given fractions.

LCM of 932,5308 is 1236764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2762,4984

GCF of Fractions 2762/932,4984/5308 is 2/1236764

2 2762, 4984
1381, 2492

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

Greatest Common Factor of 2762,4984 By Matching Biggest Common Factor Method

Greatest Common Factor of 2762,4984 By Matching Biggest Common Factor Method

Factors of 2762

List of positive integer factors of 2762 that divides 2762 without a remainder.

1,2,1381,2762

Factors of 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Greatest Common Factor

We found the factors 2762,4984 . The biggest common factor number is the GCF number.
So the greatest common factor 2762,4984 is 2.

Lets's calculate LCM of 932,5308

2 932, 5308
2 466, 2654
233, 1327

∴ So the LCM of the given numbers is 2 x 2 x 233 x 1327 = 1236764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1236764

Therefore, the GCF of Fractions 2762/932,4984/5308 is 2/1236764

Least Common Multiple of 932,5308 with GCF Formula

Least Common Multiple of 932,5308 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 932,5308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,5308) = 4

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

GCF(932,5308) x common factors =4 x 1 = 4

LCM(932,5308) = ( 932 × 5308 ) / 4

LCM(932,5308) = 4947056 / 4

LCM(932,5308) = 1236764


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 2762/932, 4984/5308

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 2762/932, 4984/5308?

Answer: GCF of Numerators as per given numbers 2762/932, 4984/5308 is

GCF of Numerators i.e. for 2762,4984 is 2

LCM of denominators i.e. for 932,5308 is 1236764.

Thus, GCF of Fractions is 2/1236764.Finally, GCF of Fractions for 2762/932, 4984/5308 is 2/1236764.