Greatest Common Factor of 5899/49, 4867/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5899/49, 4867/329

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 5899/49,4867/329

Given fractions are 5899/49,4867/329

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 5899,4867

Greatest Common Factor of Numerators i.e. GCF of 5899,4867 is 1 .

LCM of Denominators means LCM of 49,329 as per the given fractions.

LCM of 49,329 is 2303 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5899,4867

GCF of Fractions 5899/49,4867/329 is 1/2303

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

Greatest Common Factor of 5899,4867 By Matching Biggest Common Factor Method

Greatest Common Factor of 5899,4867 By Matching Biggest Common Factor Method

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

Factors of 4867

List of positive integer factors of 4867 that divides 4867 without a remainder.

1,31,157,4867

Greatest Common Factor

We found the factors 5899,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 5899,4867 is 1.

Lets's calculate LCM of 49,329

7 49, 329
7, 47

∴ So the LCM of the given numbers is 7 x 7 x 47 = 2303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2303

Therefore, the GCF of Fractions 5899/49,4867/329 is 1/2303

Least Common Multiple of 49,329 with GCF Formula

Least Common Multiple of 49,329 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 49,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,329) = 7

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

GCF(49,329) x common factors =7 x 1 = 7

LCM(49,329) = ( 49 × 329 ) / 7

LCM(49,329) = 16121 / 7

LCM(49,329) = 2303


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 5899/49, 4867/329

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 5899/49, 4867/329?

Answer: GCF of Numerators as per given numbers 5899/49, 4867/329 is

GCF of Numerators i.e. for 5899,4867 is 1

LCM of denominators i.e. for 49,329 is 2303.

Thus, GCF of Fractions is 1/2303.Finally, GCF of Fractions for 5899/49, 4867/329 is 1/2303.