Greatest Common Factor of 8746/23, 5884/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8746/23, 5884/428

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 8746/23,5884/428

Given fractions are 8746/23,5884/428

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 8746,5884

Greatest Common Factor of Numerators i.e. GCF of 8746,5884 is 2 .

LCM of Denominators means LCM of 23,428 as per the given fractions.

LCM of 23,428 is 9844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8746,5884

GCF of Fractions 8746/23,5884/428 is 2/9844

2 8746, 5884
4373, 2942

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

Greatest Common Factor of 8746,5884 By Matching Biggest Common Factor Method

Greatest Common Factor of 8746,5884 By Matching Biggest Common Factor Method

Factors of 8746

List of positive integer factors of 8746 that divides 8746 without a remainder.

1,2,4373,8746

Factors of 5884

List of positive integer factors of 5884 that divides 5884 without a remainder.

1,2,4,1471,2942,5884

Greatest Common Factor

We found the factors 8746,5884 . The biggest common factor number is the GCF number.
So the greatest common factor 8746,5884 is 2.

Lets's calculate LCM of 23,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 9844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9844

Therefore, the GCF of Fractions 8746/23,5884/428 is 2/9844

Least Common Multiple of 23,428 with GCF Formula

Least Common Multiple of 23,428 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 23,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,428) = 1

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

GCF(23,428) x common factors =1 x 1 = 1

LCM(23,428) = ( 23 × 428 ) / 1

LCM(23,428) = 9844 / 1

LCM(23,428) = 9844


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 8746/23, 5884/428

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 8746/23, 5884/428?

Answer: GCF of Numerators as per given numbers 8746/23, 5884/428 is

GCF of Numerators i.e. for 8746,5884 is 2

LCM of denominators i.e. for 23,428 is 9844.

Thus, GCF of Fractions is 2/9844.Finally, GCF of Fractions for 8746/23, 5884/428 is 2/9844.