Greatest Common Factor of 9052/684, 4988/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9052/684, 4988/912

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 9052/684,4988/912

Given fractions are 9052/684,4988/912

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 9052,4988

Greatest Common Factor of Numerators i.e. GCF of 9052,4988 is 4 .

LCM of Denominators means LCM of 684,912 as per the given fractions.

LCM of 684,912 is 2736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9052,4988

GCF of Fractions 9052/684,4988/912 is 4/2736

2 9052, 4988
2 4526, 2494
2263, 1247

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9052,4988 By Matching Biggest Common Factor Method

Greatest Common Factor of 9052,4988 By Matching Biggest Common Factor Method

Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1,2,4,31,62,73,124,146,292,2263,4526,9052

Factors of 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1,2,4,29,43,58,86,116,172,1247,2494,4988

Greatest Common Factor

We found the factors 9052,4988 . The biggest common factor number is the GCF number.
So the greatest common factor 9052,4988 is 4.

Lets's calculate LCM of 684,912

2 684, 912
2 342, 456
3 171, 228
19 57, 76
3, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 3 x 4 = 2736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2736

Therefore, the GCF of Fractions 9052/684,4988/912 is 4/2736

Least Common Multiple of 684,912 with GCF Formula

Least Common Multiple of 684,912 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 684,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,912) = 228

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

GCF(684,912) x common factors =228 x 1 = 228

LCM(684,912) = ( 684 × 912 ) / 228

LCM(684,912) = 623808 / 228

LCM(684,912) = 2736


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 9052/684, 4988/912

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 9052/684, 4988/912?

Answer: GCF of Numerators as per given numbers 9052/684, 4988/912 is

GCF of Numerators i.e. for 9052,4988 is 4

LCM of denominators i.e. for 684,912 is 2736.

Thus, GCF of Fractions is 4/2736.Finally, GCF of Fractions for 9052/684, 4988/912 is 4/2736.