Greatest Common Factor of 5557/568, 3789/396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5557/568, 3789/396

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 5557/568,3789/396

Given fractions are 5557/568,3789/396

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 5557,3789

Greatest Common Factor of Numerators i.e. GCF of 5557,3789 is 1 .

LCM of Denominators means LCM of 568,396 as per the given fractions.

LCM of 568,396 is 56232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5557,3789

GCF of Fractions 5557/568,3789/396 is 1/56232

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

Greatest Common Factor of 5557,3789 By Matching Biggest Common Factor Method

Greatest Common Factor of 5557,3789 By Matching Biggest Common Factor Method

Factors of 5557

List of positive integer factors of 5557 that divides 5557 without a remainder.

1,5557

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1,3,9,421,1263,3789

Greatest Common Factor

We found the factors 5557,3789 . The biggest common factor number is the GCF number.
So the greatest common factor 5557,3789 is 1.

Lets's calculate LCM of 568,396

2 568, 396
2 284, 198
142, 99

∴ So the LCM of the given numbers is 2 x 2 x 142 x 99 = 56232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56232

Therefore, the GCF of Fractions 5557/568,3789/396 is 1/56232

Least Common Multiple of 568,396 with GCF Formula

Least Common Multiple of 568,396 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 568,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,396) = 4

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

GCF(568,396) x common factors =4 x 1 = 4

LCM(568,396) = ( 568 × 396 ) / 4

LCM(568,396) = 224928 / 4

LCM(568,396) = 56232


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 5557/568, 3789/396

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 5557/568, 3789/396?

Answer: GCF of Numerators as per given numbers 5557/568, 3789/396 is

GCF of Numerators i.e. for 5557,3789 is 1

LCM of denominators i.e. for 568,396 is 56232.

Thus, GCF of Fractions is 1/56232.Finally, GCF of Fractions for 5557/568, 3789/396 is 1/56232.