Greatest Common Factor of 468/79, 3309/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/79, 3309/727

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 468/79,3309/727

Given fractions are 468/79,3309/727

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 468,3309

Greatest Common Factor of Numerators i.e. GCF of 468,3309 is 3 .

LCM of Denominators means LCM of 79,727 as per the given fractions.

LCM of 79,727 is 57433 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,3309

GCF of Fractions 468/79,3309/727 is 3/57433

3 468, 3309
156, 1103

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

Greatest Common Factor of 468,3309 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,3309 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1,3,1103,3309

Greatest Common Factor

We found the factors 468,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 468,3309 is 3.

Lets's calculate LCM of 79,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 57433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57433

Therefore, the GCF of Fractions 468/79,3309/727 is 3/57433

Least Common Multiple of 79,727 with GCF Formula

Least Common Multiple of 79,727 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 79,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,727) = 1

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

GCF(79,727) x common factors =1 x 1 = 1

LCM(79,727) = ( 79 × 727 ) / 1

LCM(79,727) = 57433 / 1

LCM(79,727) = 57433


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 468/79, 3309/727

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 468/79, 3309/727?

Answer: GCF of Numerators as per given numbers 468/79, 3309/727 is

GCF of Numerators i.e. for 468,3309 is 3

LCM of denominators i.e. for 79,727 is 57433.

Thus, GCF of Fractions is 3/57433.Finally, GCF of Fractions for 468/79, 3309/727 is 3/57433.