Greatest Common Factor of 7294/325, 1792/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7294/325, 1792/508

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 7294/325,1792/508

Given fractions are 7294/325,1792/508

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 7294,1792

Greatest Common Factor of Numerators i.e. GCF of 7294,1792 is 14 .

LCM of Denominators means LCM of 325,508 as per the given fractions.

LCM of 325,508 is 165100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7294,1792

GCF of Fractions 7294/325,1792/508 is 14/165100

2 7294, 1792
7 3647, 896
521, 128

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 7294,1792 By Matching Biggest Common Factor Method

Greatest Common Factor of 7294,1792 By Matching Biggest Common Factor Method

Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1,2,7,14,521,1042,3647,7294

Factors of 1792

List of positive integer factors of 1792 that divides 1792 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792

Greatest Common Factor

We found the factors 7294,1792 . The biggest common factor number is the GCF number.
So the greatest common factor 7294,1792 is 14.

Lets's calculate LCM of 325,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 165100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/165100

Therefore, the GCF of Fractions 7294/325,1792/508 is 14/165100

Least Common Multiple of 325,508 with GCF Formula

Least Common Multiple of 325,508 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 325,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,508) = 1

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

GCF(325,508) x common factors =1 x 1 = 1

LCM(325,508) = ( 325 × 508 ) / 1

LCM(325,508) = 165100 / 1

LCM(325,508) = 165100


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 7294/325, 1792/508

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 7294/325, 1792/508?

Answer: GCF of Numerators as per given numbers 7294/325, 1792/508 is

GCF of Numerators i.e. for 7294,1792 is 14

LCM of denominators i.e. for 325,508 is 165100.

Thus, GCF of Fractions is 14/165100.Finally, GCF of Fractions for 7294/325, 1792/508 is 14/165100.