Greatest Common Factor of 4674/52, 8758/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4674/52, 8758/179

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 4674/52,8758/179

Given fractions are 4674/52,8758/179

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 4674,8758

Greatest Common Factor of Numerators i.e. GCF of 4674,8758 is 2 .

LCM of Denominators means LCM of 52,179 as per the given fractions.

LCM of 52,179 is 9308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4674,8758

GCF of Fractions 4674/52,8758/179 is 2/9308

2 4674, 8758
2337, 4379

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

Greatest Common Factor of 4674,8758 By Matching Biggest Common Factor Method

Greatest Common Factor of 4674,8758 By Matching Biggest Common Factor Method

Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1,2,3,6,19,38,41,57,82,114,123,246,779,1558,2337,4674

Factors of 8758

List of positive integer factors of 8758 that divides 8758 without a remainder.

1,2,29,58,151,302,4379,8758

Greatest Common Factor

We found the factors 4674,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 4674,8758 is 2.

Lets's calculate LCM of 52,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 9308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9308

Therefore, the GCF of Fractions 4674/52,8758/179 is 2/9308

Least Common Multiple of 52,179 with GCF Formula

Least Common Multiple of 52,179 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 52,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,179) = 1

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

GCF(52,179) x common factors =1 x 1 = 1

LCM(52,179) = ( 52 × 179 ) / 1

LCM(52,179) = 9308 / 1

LCM(52,179) = 9308


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 4674/52, 8758/179

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 4674/52, 8758/179?

Answer: GCF of Numerators as per given numbers 4674/52, 8758/179 is

GCF of Numerators i.e. for 4674,8758 is 2

LCM of denominators i.e. for 52,179 is 9308.

Thus, GCF of Fractions is 2/9308.Finally, GCF of Fractions for 4674/52, 8758/179 is 2/9308.