Greatest Common Factor of 928/644, 5823/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/644, 5823/516

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 928/644,5823/516

Given fractions are 928/644,5823/516

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 928,5823

Greatest Common Factor of Numerators i.e. GCF of 928,5823 is 1 .

LCM of Denominators means LCM of 644,516 as per the given fractions.

LCM of 644,516 is 83076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,5823

GCF of Fractions 928/644,5823/516 is 1/83076

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 928,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,5823 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 928,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 928,5823 is 1.

Lets's calculate LCM of 644,516

2 644, 516
2 322, 258
161, 129

∴ So the LCM of the given numbers is 2 x 2 x 161 x 129 = 83076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83076

Therefore, the GCF of Fractions 928/644,5823/516 is 1/83076

Least Common Multiple of 644,516 with GCF Formula

Least Common Multiple of 644,516 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 644,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,516) = 4

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

GCF(644,516) x common factors =4 x 1 = 4

LCM(644,516) = ( 644 × 516 ) / 4

LCM(644,516) = 332304 / 4

LCM(644,516) = 83076


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 928/644, 5823/516

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 928/644, 5823/516?

Answer: GCF of Numerators as per given numbers 928/644, 5823/516 is

GCF of Numerators i.e. for 928,5823 is 1

LCM of denominators i.e. for 644,516 is 83076.

Thus, GCF of Fractions is 1/83076.Finally, GCF of Fractions for 928/644, 5823/516 is 1/83076.