Greatest Common Factor of 7480/425, 3191/7293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7480/425, 3191/7293

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 7480/425,3191/7293

Given fractions are 7480/425,3191/7293

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 7480,3191

Greatest Common Factor of Numerators i.e. GCF of 7480,3191 is 1 .

LCM of Denominators means LCM of 425,7293 as per the given fractions.

LCM of 425,7293 is 182325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7480,3191

GCF of Fractions 7480/425,3191/7293 is 1/182325

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

Greatest Common Factor of 7480,3191 By Matching Biggest Common Factor Method

Greatest Common Factor of 7480,3191 By Matching Biggest Common Factor Method

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Factors of 3191

List of positive integer factors of 3191 that divides 3191 without a remainder.

1,3191

Greatest Common Factor

We found the factors 7480,3191 . The biggest common factor number is the GCF number.
So the greatest common factor 7480,3191 is 1.

Lets's calculate LCM of 425,7293

17 425, 7293
25, 429

∴ So the LCM of the given numbers is 17 x 25 x 429 = 182325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182325

Therefore, the GCF of Fractions 7480/425,3191/7293 is 1/182325

Least Common Multiple of 425,7293 with GCF Formula

Least Common Multiple of 425,7293 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 425,7293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(425,7293) = 17

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

GCF(425,7293) x common factors =17 x 1 = 17

LCM(425,7293) = ( 425 × 7293 ) / 17

LCM(425,7293) = 3099525 / 17

LCM(425,7293) = 182325


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 7480/425, 3191/7293

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 7480/425, 3191/7293?

Answer: GCF of Numerators as per given numbers 7480/425, 3191/7293 is

GCF of Numerators i.e. for 7480,3191 is 1

LCM of denominators i.e. for 425,7293 is 182325.

Thus, GCF of Fractions is 1/182325.Finally, GCF of Fractions for 7480/425, 3191/7293 is 1/182325.