Greatest Common Factor of 5820/544, 1546/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5820/544, 1546/176

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 5820/544,1546/176

Given fractions are 5820/544,1546/176

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 5820,1546

Greatest Common Factor of Numerators i.e. GCF of 5820,1546 is 2 .

LCM of Denominators means LCM of 544,176 as per the given fractions.

LCM of 544,176 is 5984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5820,1546

GCF of Fractions 5820/544,1546/176 is 2/5984

2 5820, 1546
2910, 773

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

Greatest Common Factor of 5820,1546 By Matching Biggest Common Factor Method

Greatest Common Factor of 5820,1546 By Matching Biggest Common Factor Method

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820

Factors of 1546

List of positive integer factors of 1546 that divides 1546 without a remainder.

1,2,773,1546

Greatest Common Factor

We found the factors 5820,1546 . The biggest common factor number is the GCF number.
So the greatest common factor 5820,1546 is 2.

Lets's calculate LCM of 544,176

2 544, 176
2 272, 88
2 136, 44
2 68, 22
34, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 34 x 11 = 5984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5984

Therefore, the GCF of Fractions 5820/544,1546/176 is 2/5984

Least Common Multiple of 544,176 with GCF Formula

Least Common Multiple of 544,176 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 544,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,176) = 16

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

GCF(544,176) x common factors =16 x 1 = 16

LCM(544,176) = ( 544 × 176 ) / 16

LCM(544,176) = 95744 / 16

LCM(544,176) = 5984


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 5820/544, 1546/176

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 5820/544, 1546/176?

Answer: GCF of Numerators as per given numbers 5820/544, 1546/176 is

GCF of Numerators i.e. for 5820,1546 is 2

LCM of denominators i.e. for 544,176 is 5984.

Thus, GCF of Fractions is 2/5984.Finally, GCF of Fractions for 5820/544, 1546/176 is 2/5984.