Greatest Common Factor of 2688/723, 2425/1172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2688/723, 2425/1172

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 2688/723,2425/1172

Given fractions are 2688/723,2425/1172

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 2688,2425

Greatest Common Factor of Numerators i.e. GCF of 2688,2425 is 1 .

LCM of Denominators means LCM of 723,1172 as per the given fractions.

LCM of 723,1172 is 847356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2688,2425

GCF of Fractions 2688/723,2425/1172 is 1/847356

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2688,2425 By Matching Biggest Common Factor Method

Greatest Common Factor of 2688,2425 By Matching Biggest Common Factor Method

Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1,5,25,97,485,2425

Greatest Common Factor

We found the factors 2688,2425 . The biggest common factor number is the GCF number.
So the greatest common factor 2688,2425 is 1.

Lets's calculate LCM of 723,1172

Given numbers has no common factors except 1. So, there LCM is their product i.e 847356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/847356

Therefore, the GCF of Fractions 2688/723,2425/1172 is 1/847356

Least Common Multiple of 723,1172 with GCF Formula

Least Common Multiple of 723,1172 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 723,1172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,1172) = 1

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

GCF(723,1172) x common factors =1 x 1 = 1

LCM(723,1172) = ( 723 × 1172 ) / 1

LCM(723,1172) = 847356 / 1

LCM(723,1172) = 847356


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 2688/723, 2425/1172

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 2688/723, 2425/1172?

Answer: GCF of Numerators as per given numbers 2688/723, 2425/1172 is

GCF of Numerators i.e. for 2688,2425 is 1

LCM of denominators i.e. for 723,1172 is 847356.

Thus, GCF of Fractions is 1/847356.Finally, GCF of Fractions for 2688/723, 2425/1172 is 1/847356.