Greatest Common Factor of 5295/173, 7893/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5295/173, 7893/669

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 5295/173,7893/669

Given fractions are 5295/173,7893/669

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 5295,7893

Greatest Common Factor of Numerators i.e. GCF of 5295,7893 is 3 .

LCM of Denominators means LCM of 173,669 as per the given fractions.

LCM of 173,669 is 115737 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5295,7893

GCF of Fractions 5295/173,7893/669 is 3/115737

3 5295, 7893
1765, 2631

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5295,7893 By Matching Biggest Common Factor Method

Greatest Common Factor of 5295,7893 By Matching Biggest Common Factor Method

Factors of 5295

List of positive integer factors of 5295 that divides 5295 without a remainder.

1,3,5,15,353,1059,1765,5295

Factors of 7893

List of positive integer factors of 7893 that divides 7893 without a remainder.

1,3,9,877,2631,7893

Greatest Common Factor

We found the factors 5295,7893 . The biggest common factor number is the GCF number.
So the greatest common factor 5295,7893 is 3.

Lets's calculate LCM of 173,669

Given numbers has no common factors except 1. So, there LCM is their product i.e 115737

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115737

Therefore, the GCF of Fractions 5295/173,7893/669 is 3/115737

Least Common Multiple of 173,669 with GCF Formula

Least Common Multiple of 173,669 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 173,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,669) = 1

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

GCF(173,669) x common factors =1 x 1 = 1

LCM(173,669) = ( 173 × 669 ) / 1

LCM(173,669) = 115737 / 1

LCM(173,669) = 115737


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 5295/173, 7893/669

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 5295/173, 7893/669?

Answer: GCF of Numerators as per given numbers 5295/173, 7893/669 is

GCF of Numerators i.e. for 5295,7893 is 3

LCM of denominators i.e. for 173,669 is 115737.

Thus, GCF of Fractions is 3/115737.Finally, GCF of Fractions for 5295/173, 7893/669 is 3/115737.