Greatest Common Factor of 8724/234, 4857/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8724/234, 4857/174

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 8724/234,4857/174

Given fractions are 8724/234,4857/174

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 8724,4857

Greatest Common Factor of Numerators i.e. GCF of 8724,4857 is 3 .

LCM of Denominators means LCM of 234,174 as per the given fractions.

LCM of 234,174 is 6786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8724,4857

GCF of Fractions 8724/234,4857/174 is 3/6786

3 8724, 4857
2908, 1619

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8724,4857 By Matching Biggest Common Factor Method

Greatest Common Factor of 8724,4857 By Matching Biggest Common Factor Method

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1,2,3,4,6,12,727,1454,2181,2908,4362,8724

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1,3,1619,4857

Greatest Common Factor

We found the factors 8724,4857 . The biggest common factor number is the GCF number.
So the greatest common factor 8724,4857 is 3.

Lets's calculate LCM of 234,174

2 234, 174
3 117, 87
39, 29

∴ So the LCM of the given numbers is 2 x 3 x 39 x 29 = 6786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6786

Therefore, the GCF of Fractions 8724/234,4857/174 is 3/6786

Least Common Multiple of 234,174 with GCF Formula

Least Common Multiple of 234,174 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 234,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,174) = 6

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

GCF(234,174) x common factors =6 x 1 = 6

LCM(234,174) = ( 234 × 174 ) / 6

LCM(234,174) = 40716 / 6

LCM(234,174) = 6786


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 8724/234, 4857/174

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 8724/234, 4857/174?

Answer: GCF of Numerators as per given numbers 8724/234, 4857/174 is

GCF of Numerators i.e. for 8724,4857 is 3

LCM of denominators i.e. for 234,174 is 6786.

Thus, GCF of Fractions is 3/6786.Finally, GCF of Fractions for 8724/234, 4857/174 is 3/6786.