Greatest Common Factor of 5359/746, 3993/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5359/746, 3993/831

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 5359/746,3993/831

Given fractions are 5359/746,3993/831

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 5359,3993

Greatest Common Factor of Numerators i.e. GCF of 5359,3993 is 1 .

LCM of Denominators means LCM of 746,831 as per the given fractions.

LCM of 746,831 is 619926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5359,3993

GCF of Fractions 5359/746,3993/831 is 1/619926

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

Greatest Common Factor of 5359,3993 By Matching Biggest Common Factor Method

Greatest Common Factor of 5359,3993 By Matching Biggest Common Factor Method

Factors of 5359

List of positive integer factors of 5359 that divides 5359 without a remainder.

1,23,233,5359

Factors of 3993

List of positive integer factors of 3993 that divides 3993 without a remainder.

1,3,11,33,121,363,1331,3993

Greatest Common Factor

We found the factors 5359,3993 . The biggest common factor number is the GCF number.
So the greatest common factor 5359,3993 is 1.

Lets's calculate LCM of 746,831

Given numbers has no common factors except 1. So, there LCM is their product i.e 619926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619926

Therefore, the GCF of Fractions 5359/746,3993/831 is 1/619926

Least Common Multiple of 746,831 with GCF Formula

Least Common Multiple of 746,831 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 746,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,831) = 1

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

GCF(746,831) x common factors =1 x 1 = 1

LCM(746,831) = ( 746 × 831 ) / 1

LCM(746,831) = 619926 / 1

LCM(746,831) = 619926


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 5359/746, 3993/831

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 5359/746, 3993/831?

Answer: GCF of Numerators as per given numbers 5359/746, 3993/831 is

GCF of Numerators i.e. for 5359,3993 is 1

LCM of denominators i.e. for 746,831 is 619926.

Thus, GCF of Fractions is 1/619926.Finally, GCF of Fractions for 5359/746, 3993/831 is 1/619926.