Greatest Common Factor of 5779/496, 8853/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5779/496, 8853/544

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 5779/496,8853/544

Given fractions are 5779/496,8853/544

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 5779,8853

Greatest Common Factor of Numerators i.e. GCF of 5779,8853 is 1 .

LCM of Denominators means LCM of 496,544 as per the given fractions.

LCM of 496,544 is 16864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5779,8853

GCF of Fractions 5779/496,8853/544 is 1/16864

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

Greatest Common Factor of 5779,8853 By Matching Biggest Common Factor Method

Greatest Common Factor of 5779,8853 By Matching Biggest Common Factor Method

Factors of 5779

List of positive integer factors of 5779 that divides 5779 without a remainder.

1,5779

Factors of 8853

List of positive integer factors of 8853 that divides 8853 without a remainder.

1,3,13,39,227,681,2951,8853

Greatest Common Factor

We found the factors 5779,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 5779,8853 is 1.

Lets's calculate LCM of 496,544

2 496, 544
2 248, 272
2 124, 136
2 62, 68
31, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 34 = 16864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16864

Therefore, the GCF of Fractions 5779/496,8853/544 is 1/16864

Least Common Multiple of 496,544 with GCF Formula

Least Common Multiple of 496,544 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 496,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,544) = 16

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

GCF(496,544) x common factors =16 x 1 = 16

LCM(496,544) = ( 496 × 544 ) / 16

LCM(496,544) = 269824 / 16

LCM(496,544) = 16864


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 5779/496, 8853/544

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 5779/496, 8853/544?

Answer: GCF of Numerators as per given numbers 5779/496, 8853/544 is

GCF of Numerators i.e. for 5779,8853 is 1

LCM of denominators i.e. for 496,544 is 16864.

Thus, GCF of Fractions is 1/16864.Finally, GCF of Fractions for 5779/496, 8853/544 is 1/16864.