Greatest Common Factor of 5772/40, 8934/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5772/40, 8934/739

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 5772/40,8934/739

Given fractions are 5772/40,8934/739

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 5772,8934

Greatest Common Factor of Numerators i.e. GCF of 5772,8934 is 6 .

LCM of Denominators means LCM of 40,739 as per the given fractions.

LCM of 40,739 is 29560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5772,8934

GCF of Fractions 5772/40,8934/739 is 6/29560

2 5772, 8934
3 2886, 4467
962, 1489

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5772,8934 By Matching Biggest Common Factor Method

Greatest Common Factor of 5772,8934 By Matching Biggest Common Factor Method

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Factors of 8934

List of positive integer factors of 8934 that divides 8934 without a remainder.

1,2,3,6,1489,2978,4467,8934

Greatest Common Factor

We found the factors 5772,8934 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,8934 is 6.

Lets's calculate LCM of 40,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 29560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/29560

Therefore, the GCF of Fractions 5772/40,8934/739 is 6/29560

Least Common Multiple of 40,739 with GCF Formula

Least Common Multiple of 40,739 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 40,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,739) = 1

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

GCF(40,739) x common factors =1 x 1 = 1

LCM(40,739) = ( 40 × 739 ) / 1

LCM(40,739) = 29560 / 1

LCM(40,739) = 29560


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 5772/40, 8934/739

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 5772/40, 8934/739?

Answer: GCF of Numerators as per given numbers 5772/40, 8934/739 is

GCF of Numerators i.e. for 5772,8934 is 6

LCM of denominators i.e. for 40,739 is 29560.

Thus, GCF of Fractions is 6/29560.Finally, GCF of Fractions for 5772/40, 8934/739 is 6/29560.