Greatest Common Factor of 791/504, 522/438, 302/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 791/504, 522/438, 302/957

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 791/504,522/438,302/957

Given fractions are 791/504,522/438,302/957

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 791,522,302

Greatest Common Factor of Numerators i.e. GCF of 791,522,302 is 1 .

LCM of Denominators means LCM of 504,438,957 as per the given fractions.

LCM of 504,438,957 is 11736648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,522,302

GCF of Fractions 791/504,522/438,302/957 is 1/11736648

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

Greatest Common Factor of 791,522,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,522,302 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 791,522,302 . The biggest common factor number is the GCF number.
So the greatest common factor 791,522,302 is 1.

Lets's calculate LCM of 504,438,957

2 504, 438, 957
3 252, 219, 957
84, 73, 319

∴ So the LCM of the given numbers is 2 x 3 x 84 x 73 x 319 = 11736648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11736648

Therefore, the GCF of Fractions 791/504,522/438,302/957 is 1/11736648

Least Common Multiple of 504,438,957 with GCF Formula

Least Common Multiple of 504,438,957 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 504,438,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,438,957) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(504,438,957) x common factors =3 x 6 = 18

LCM(504,438,957) = ( 504 × 438 × 957 ) / 18

LCM(504,438,957) = 211259664 / 18

LCM(504,438,957) = 11736648


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 791/504, 522/438, 302/957

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 791/504, 522/438, 302/957?

Answer: GCF of Numerators as per given numbers 791/504, 522/438, 302/957 is

GCF of Numerators i.e. for 791,522,302 is 1

LCM of denominators i.e. for 504,438,957 is 11736648.

Thus, GCF of Fractions is 1/11736648.Finally, GCF of Fractions for 791/504, 522/438, 302/957 is 1/11736648.