Greatest Common Factor of 5617/434, 6099/4374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5617/434, 6099/4374

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 5617/434,6099/4374

Given fractions are 5617/434,6099/4374

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 5617,6099

Greatest Common Factor of Numerators i.e. GCF of 5617,6099 is 1 .

LCM of Denominators means LCM of 434,4374 as per the given fractions.

LCM of 434,4374 is 949158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5617,6099

GCF of Fractions 5617/434,6099/4374 is 1/949158

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

Greatest Common Factor of 5617,6099 By Matching Biggest Common Factor Method

Greatest Common Factor of 5617,6099 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 6099

List of positive integer factors of 6099 that divides 6099 without a remainder.

1,3,19,57,107,321,2033,6099

Greatest Common Factor

We found the factors 5617,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,6099 is 1.

Lets's calculate LCM of 434,4374

2 434, 4374
217, 2187

∴ So the LCM of the given numbers is 2 x 217 x 2187 = 949158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/949158

Therefore, the GCF of Fractions 5617/434,6099/4374 is 1/949158

Least Common Multiple of 434,4374 with GCF Formula

Least Common Multiple of 434,4374 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 434,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,4374) = 2

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

GCF(434,4374) x common factors =2 x 1 = 2

LCM(434,4374) = ( 434 × 4374 ) / 2

LCM(434,4374) = 1898316 / 2

LCM(434,4374) = 949158


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 5617/434, 6099/4374

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 5617/434, 6099/4374?

Answer: GCF of Numerators as per given numbers 5617/434, 6099/4374 is

GCF of Numerators i.e. for 5617,6099 is 1

LCM of denominators i.e. for 434,4374 is 949158.

Thus, GCF of Fractions is 1/949158.Finally, GCF of Fractions for 5617/434, 6099/4374 is 1/949158.