Greatest Common Factor of 4586/328, 5762/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4586/328, 5762/723

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 4586/328,5762/723

Given fractions are 4586/328,5762/723

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 4586,5762

Greatest Common Factor of Numerators i.e. GCF of 4586,5762 is 2 .

LCM of Denominators means LCM of 328,723 as per the given fractions.

LCM of 328,723 is 237144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4586,5762

GCF of Fractions 4586/328,5762/723 is 2/237144

2 4586, 5762
2293, 2881

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4586,5762 By Matching Biggest Common Factor Method

Greatest Common Factor of 4586,5762 By Matching Biggest Common Factor Method

Factors of 4586

List of positive integer factors of 4586 that divides 4586 without a remainder.

1,2,2293,4586

Factors of 5762

List of positive integer factors of 5762 that divides 5762 without a remainder.

1,2,43,67,86,134,2881,5762

Greatest Common Factor

We found the factors 4586,5762 . The biggest common factor number is the GCF number.
So the greatest common factor 4586,5762 is 2.

Lets's calculate LCM of 328,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 237144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237144

Therefore, the GCF of Fractions 4586/328,5762/723 is 2/237144

Least Common Multiple of 328,723 with GCF Formula

Least Common Multiple of 328,723 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 328,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,723) = 1

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

GCF(328,723) x common factors =1 x 1 = 1

LCM(328,723) = ( 328 × 723 ) / 1

LCM(328,723) = 237144 / 1

LCM(328,723) = 237144


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 4586/328, 5762/723

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 4586/328, 5762/723?

Answer: GCF of Numerators as per given numbers 4586/328, 5762/723 is

GCF of Numerators i.e. for 4586,5762 is 2

LCM of denominators i.e. for 328,723 is 237144.

Thus, GCF of Fractions is 2/237144.Finally, GCF of Fractions for 4586/328, 5762/723 is 2/237144.