Greatest Common Factor of 5181/823, 7654/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5181/823, 7654/179

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 5181/823,7654/179

Given fractions are 5181/823,7654/179

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 5181,7654

Greatest Common Factor of Numerators i.e. GCF of 5181,7654 is 1 .

LCM of Denominators means LCM of 823,179 as per the given fractions.

LCM of 823,179 is 147317 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5181,7654

GCF of Fractions 5181/823,7654/179 is 1/147317

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

Greatest Common Factor of 5181,7654 By Matching Biggest Common Factor Method

Greatest Common Factor of 5181,7654 By Matching Biggest Common Factor Method

Factors of 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1,3,11,33,157,471,1727,5181

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1,2,43,86,89,178,3827,7654

Greatest Common Factor

We found the factors 5181,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,7654 is 1.

Lets's calculate LCM of 823,179

Given numbers has no common factors except 1. So, there LCM is their product i.e 147317

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147317

Therefore, the GCF of Fractions 5181/823,7654/179 is 1/147317

Least Common Multiple of 823,179 with GCF Formula

Least Common Multiple of 823,179 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 823,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,179) = 1

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

GCF(823,179) x common factors =1 x 1 = 1

LCM(823,179) = ( 823 × 179 ) / 1

LCM(823,179) = 147317 / 1

LCM(823,179) = 147317


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 5181/823, 7654/179

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 5181/823, 7654/179?

Answer: GCF of Numerators as per given numbers 5181/823, 7654/179 is

GCF of Numerators i.e. for 5181,7654 is 1

LCM of denominators i.e. for 823,179 is 147317.

Thus, GCF of Fractions is 1/147317.Finally, GCF of Fractions for 5181/823, 7654/179 is 1/147317.