Greatest Common Factor of 5699/31, 5304/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5699/31, 5304/930

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 5699/31,5304/930

Given fractions are 5699/31,5304/930

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 5699,5304

Greatest Common Factor of Numerators i.e. GCF of 5699,5304 is 1 .

LCM of Denominators means LCM of 31,930 as per the given fractions.

LCM of 31,930 is 930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5699,5304

GCF of Fractions 5699/31,5304/930 is 1/930

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

Greatest Common Factor of 5699,5304 By Matching Biggest Common Factor Method

Greatest Common Factor of 5699,5304 By Matching Biggest Common Factor Method

Factors of 5699

List of positive integer factors of 5699 that divides 5699 without a remainder.

1,41,139,5699

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Greatest Common Factor

We found the factors 5699,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 5699,5304 is 1.

Lets's calculate LCM of 31,930

31 31, 930
1, 30

∴ So the LCM of the given numbers is 31 x 1 x 30 = 930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/930

Therefore, the GCF of Fractions 5699/31,5304/930 is 1/930

Least Common Multiple of 31,930 with GCF Formula

Least Common Multiple of 31,930 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 31,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,930) = 31

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

GCF(31,930) x common factors =31 x 1 = 31

LCM(31,930) = ( 31 × 930 ) / 31

LCM(31,930) = 28830 / 31

LCM(31,930) = 930


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 5699/31, 5304/930

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 5699/31, 5304/930?

Answer: GCF of Numerators as per given numbers 5699/31, 5304/930 is

GCF of Numerators i.e. for 5699,5304 is 1

LCM of denominators i.e. for 31,930 is 930.

Thus, GCF of Fractions is 1/930.Finally, GCF of Fractions for 5699/31, 5304/930 is 1/930.