Greatest Common Factor of 2259/123, 7434/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2259/123, 7434/179

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 2259/123,7434/179

Given fractions are 2259/123,7434/179

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 2259,7434

Greatest Common Factor of Numerators i.e. GCF of 2259,7434 is 9 .

LCM of Denominators means LCM of 123,179 as per the given fractions.

LCM of 123,179 is 22017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2259,7434

GCF of Fractions 2259/123,7434/179 is 9/22017

3 2259, 7434
3 753, 2478
251, 826

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2259,7434 By Matching Biggest Common Factor Method

Greatest Common Factor of 2259,7434 By Matching Biggest Common Factor Method

Factors of 2259

List of positive integer factors of 2259 that divides 2259 without a remainder.

1,3,9,251,753,2259

Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434

Greatest Common Factor

We found the factors 2259,7434 . The biggest common factor number is the GCF number.
So the greatest common factor 2259,7434 is 9.

Lets's calculate LCM of 123,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 22017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/22017

Therefore, the GCF of Fractions 2259/123,7434/179 is 9/22017

Least Common Multiple of 123,179 with GCF Formula

Least Common Multiple of 123,179 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 123,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,179) = 1

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

GCF(123,179) x common factors =1 x 1 = 1

LCM(123,179) = ( 123 × 179 ) / 1

LCM(123,179) = 22017 / 1

LCM(123,179) = 22017


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 2259/123, 7434/179

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 2259/123, 7434/179?

Answer: GCF of Numerators as per given numbers 2259/123, 7434/179 is

GCF of Numerators i.e. for 2259,7434 is 9

LCM of denominators i.e. for 123,179 is 22017.

Thus, GCF of Fractions is 9/22017.Finally, GCF of Fractions for 2259/123, 7434/179 is 9/22017.