Greatest Common Factor of 5617/398, 3057/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5617/398, 3057/138

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 5617/398,3057/138

Given fractions are 5617/398,3057/138

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 5617,3057

Greatest Common Factor of Numerators i.e. GCF of 5617,3057 is 1 .

LCM of Denominators means LCM of 398,138 as per the given fractions.

LCM of 398,138 is 27462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5617,3057

GCF of Fractions 5617/398,3057/138 is 1/27462

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

Greatest Common Factor of 5617,3057 By Matching Biggest Common Factor Method

Greatest Common Factor of 5617,3057 By Matching Biggest Common Factor Method

Factors of 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1,41,137,5617

Factors of 3057

List of positive integer factors of 3057 that divides 3057 without a remainder.

1,3,1019,3057

Greatest Common Factor

We found the factors 5617,3057 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,3057 is 1.

Lets's calculate LCM of 398,138

2 398, 138
199, 69

∴ So the LCM of the given numbers is 2 x 199 x 69 = 27462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27462

Therefore, the GCF of Fractions 5617/398,3057/138 is 1/27462

Least Common Multiple of 398,138 with GCF Formula

Least Common Multiple of 398,138 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 398,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,138) = 2

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

GCF(398,138) x common factors =2 x 1 = 2

LCM(398,138) = ( 398 × 138 ) / 2

LCM(398,138) = 54924 / 2

LCM(398,138) = 27462


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 5617/398, 3057/138

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 5617/398, 3057/138?

Answer: GCF of Numerators as per given numbers 5617/398, 3057/138 is

GCF of Numerators i.e. for 5617,3057 is 1

LCM of denominators i.e. for 398,138 is 27462.

Thus, GCF of Fractions is 1/27462.Finally, GCF of Fractions for 5617/398, 3057/138 is 1/27462.