Greatest Common Factor of 4329/420, 4602/2703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4329/420, 4602/2703

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 4329/420,4602/2703

Given fractions are 4329/420,4602/2703

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 4329,4602

Greatest Common Factor of Numerators i.e. GCF of 4329,4602 is 39 .

LCM of Denominators means LCM of 420,2703 as per the given fractions.

LCM of 420,2703 is 378420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4329,4602

GCF of Fractions 4329/420,4602/2703 is 39/378420

3 4329, 4602
13 1443, 1534
111, 118

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 4329,4602 By Matching Biggest Common Factor Method

Greatest Common Factor of 4329,4602 By Matching Biggest Common Factor Method

Factors of 4329

List of positive integer factors of 4329 that divides 4329 without a remainder.

1,3,9,13,37,39,111,117,333,481,1443,4329

Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602

Greatest Common Factor

We found the factors 4329,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,4602 is 39.

Lets's calculate LCM of 420,2703

3 420, 2703
140, 901

∴ So the LCM of the given numbers is 3 x 140 x 901 = 378420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/378420

Therefore, the GCF of Fractions 4329/420,4602/2703 is 39/378420

Least Common Multiple of 420,2703 with GCF Formula

Least Common Multiple of 420,2703 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 420,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,2703) = 3

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

GCF(420,2703) x common factors =3 x 1 = 3

LCM(420,2703) = ( 420 × 2703 ) / 3

LCM(420,2703) = 1135260 / 3

LCM(420,2703) = 378420


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4329/420, 4602/2703

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 4329/420, 4602/2703?

Answer: GCF of Numerators as per given numbers 4329/420, 4602/2703 is

GCF of Numerators i.e. for 4329,4602 is 39

LCM of denominators i.e. for 420,2703 is 378420.

Thus, GCF of Fractions is 39/378420.Finally, GCF of Fractions for 4329/420, 4602/2703 is 39/378420.