Greatest Common Factor of 4329/708, 5751/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4329/708, 5751/938

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 4329/708,5751/938

Given fractions are 4329/708,5751/938

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 4329,5751

Greatest Common Factor of Numerators i.e. GCF of 4329,5751 is 9 .

LCM of Denominators means LCM of 708,938 as per the given fractions.

LCM of 708,938 is 332052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4329,5751

GCF of Fractions 4329/708,5751/938 is 9/332052

3 4329, 5751
3 1443, 1917
481, 639

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4329,5751 By Matching Biggest Common Factor Method

Greatest Common Factor of 4329,5751 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 5751

List of positive integer factors of 5751 that divides 5751 without a remainder.

1,3,9,27,71,81,213,639,1917,5751

Greatest Common Factor

We found the factors 4329,5751 . The biggest common factor number is the GCF number.
So the greatest common factor 4329,5751 is 9.

Lets's calculate LCM of 708,938

2 708, 938
354, 469

∴ So the LCM of the given numbers is 2 x 354 x 469 = 332052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/332052

Therefore, the GCF of Fractions 4329/708,5751/938 is 9/332052

Least Common Multiple of 708,938 with GCF Formula

Least Common Multiple of 708,938 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 708,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,938) = 2

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

GCF(708,938) x common factors =2 x 1 = 2

LCM(708,938) = ( 708 × 938 ) / 2

LCM(708,938) = 664104 / 2

LCM(708,938) = 332052


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 4329/708, 5751/938

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 4329/708, 5751/938?

Answer: GCF of Numerators as per given numbers 4329/708, 5751/938 is

GCF of Numerators i.e. for 4329,5751 is 9

LCM of denominators i.e. for 708,938 is 332052.

Thus, GCF of Fractions is 9/332052.Finally, GCF of Fractions for 4329/708, 5751/938 is 9/332052.