Greatest Common Factor of 5307/169, 4078/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5307/169, 4078/923

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 5307/169,4078/923

Given fractions are 5307/169,4078/923

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 5307,4078

Greatest Common Factor of Numerators i.e. GCF of 5307,4078 is 1 .

LCM of Denominators means LCM of 169,923 as per the given fractions.

LCM of 169,923 is 11999 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5307,4078

GCF of Fractions 5307/169,4078/923 is 1/11999

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

Greatest Common Factor of 5307,4078 By Matching Biggest Common Factor Method

Greatest Common Factor of 5307,4078 By Matching Biggest Common Factor Method

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Factors of 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1,2,2039,4078

Greatest Common Factor

We found the factors 5307,4078 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,4078 is 1.

Lets's calculate LCM of 169,923

13 169, 923
13, 71

∴ So the LCM of the given numbers is 13 x 13 x 71 = 11999

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11999

Therefore, the GCF of Fractions 5307/169,4078/923 is 1/11999

Least Common Multiple of 169,923 with GCF Formula

Least Common Multiple of 169,923 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 169,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,923) = 13

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

GCF(169,923) x common factors =13 x 1 = 13

LCM(169,923) = ( 169 × 923 ) / 13

LCM(169,923) = 155987 / 13

LCM(169,923) = 11999


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 5307/169, 4078/923

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 5307/169, 4078/923?

Answer: GCF of Numerators as per given numbers 5307/169, 4078/923 is

GCF of Numerators i.e. for 5307,4078 is 1

LCM of denominators i.e. for 169,923 is 11999.

Thus, GCF of Fractions is 1/11999.Finally, GCF of Fractions for 5307/169, 4078/923 is 1/11999.