Greatest Common Factor of 2709/504, 5160/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2709/504, 5160/953

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 2709/504,5160/953

Given fractions are 2709/504,5160/953

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 2709,5160

Greatest Common Factor of Numerators i.e. GCF of 2709,5160 is 129 .

LCM of Denominators means LCM of 504,953 as per the given fractions.

LCM of 504,953 is 480312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2709,5160

GCF of Fractions 2709/504,5160/953 is 129/480312

3 2709, 5160
43 903, 1720
21, 40

∴ So the GCF of the given numbers is 3 x 43 = 129

Greatest Common Factor of 2709,5160 By Matching Biggest Common Factor Method

Greatest Common Factor of 2709,5160 By Matching Biggest Common Factor Method

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Factors of 5160

List of positive integer factors of 5160 that divides 5160 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160

Greatest Common Factor

We found the factors 2709,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 2709,5160 is 129.

Lets's calculate LCM of 504,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 480312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 129/480312

Therefore, the GCF of Fractions 2709/504,5160/953 is 129/480312

Least Common Multiple of 504,953 with GCF Formula

Least Common Multiple of 504,953 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 504,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,953) = 1

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

GCF(504,953) x common factors =1 x 1 = 1

LCM(504,953) = ( 504 × 953 ) / 1

LCM(504,953) = 480312 / 1

LCM(504,953) = 480312


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 2709/504, 5160/953

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 2709/504, 5160/953?

Answer: GCF of Numerators as per given numbers 2709/504, 5160/953 is

GCF of Numerators i.e. for 2709,5160 is 129

LCM of denominators i.e. for 504,953 is 480312.

Thus, GCF of Fractions is 129/480312.Finally, GCF of Fractions for 2709/504, 5160/953 is 129/480312.