Greatest Common Factor of 4952/718, 9156/8720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4952/718, 9156/8720

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 4952/718,9156/8720

Given fractions are 4952/718,9156/8720

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 4952,9156

Greatest Common Factor of Numerators i.e. GCF of 4952,9156 is 4 .

LCM of Denominators means LCM of 718,8720 as per the given fractions.

LCM of 718,8720 is 3130480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4952,9156

GCF of Fractions 4952/718,9156/8720 is 4/3130480

2 4952, 9156
2 2476, 4578
1238, 2289

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

Greatest Common Factor of 4952,9156 By Matching Biggest Common Factor Method

Greatest Common Factor of 4952,9156 By Matching Biggest Common Factor Method

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1,2,4,8,619,1238,2476,4952

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Greatest Common Factor

We found the factors 4952,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,9156 is 4.

Lets's calculate LCM of 718,8720

2 718, 8720
359, 4360

∴ So the LCM of the given numbers is 2 x 359 x 4360 = 3130480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3130480

Therefore, the GCF of Fractions 4952/718,9156/8720 is 4/3130480

Least Common Multiple of 718,8720 with GCF Formula

Least Common Multiple of 718,8720 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 718,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,8720) = 2

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

GCF(718,8720) x common factors =2 x 1 = 2

LCM(718,8720) = ( 718 × 8720 ) / 2

LCM(718,8720) = 6260960 / 2

LCM(718,8720) = 3130480


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 4952/718, 9156/8720

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 4952/718, 9156/8720?

Answer: GCF of Numerators as per given numbers 4952/718, 9156/8720 is

GCF of Numerators i.e. for 4952,9156 is 4

LCM of denominators i.e. for 718,8720 is 3130480.

Thus, GCF of Fractions is 4/3130480.Finally, GCF of Fractions for 4952/718, 9156/8720 is 4/3130480.