Greatest Common Factor of 5697/31, 8393/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5697/31, 8393/925

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 5697/31,8393/925

Given fractions are 5697/31,8393/925

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 5697,8393

Greatest Common Factor of Numerators i.e. GCF of 5697,8393 is 1 .

LCM of Denominators means LCM of 31,925 as per the given fractions.

LCM of 31,925 is 28675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5697,8393

GCF of Fractions 5697/31,8393/925 is 1/28675

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

Greatest Common Factor of 5697,8393 By Matching Biggest Common Factor Method

Greatest Common Factor of 5697,8393 By Matching Biggest Common Factor Method

Factors of 5697

List of positive integer factors of 5697 that divides 5697 without a remainder.

1,3,9,27,211,633,1899,5697

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1,7,11,77,109,763,1199,8393

Greatest Common Factor

We found the factors 5697,8393 . The biggest common factor number is the GCF number.
So the greatest common factor 5697,8393 is 1.

Lets's calculate LCM of 31,925

Given numbers has no common factors except 1. So, there LCM is their product i.e 28675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28675

Therefore, the GCF of Fractions 5697/31,8393/925 is 1/28675

Least Common Multiple of 31,925 with GCF Formula

Least Common Multiple of 31,925 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 31,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,925) = 1

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

GCF(31,925) x common factors =1 x 1 = 1

LCM(31,925) = ( 31 × 925 ) / 1

LCM(31,925) = 28675 / 1

LCM(31,925) = 28675


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 5697/31, 8393/925

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 5697/31, 8393/925?

Answer: GCF of Numerators as per given numbers 5697/31, 8393/925 is

GCF of Numerators i.e. for 5697,8393 is 1

LCM of denominators i.e. for 31,925 is 28675.

Thus, GCF of Fractions is 1/28675.Finally, GCF of Fractions for 5697/31, 8393/925 is 1/28675.