Greatest Common Factor of 4089/598, 1974/3644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4089/598, 1974/3644

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 4089/598,1974/3644

Given fractions are 4089/598,1974/3644

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 4089,1974

Greatest Common Factor of Numerators i.e. GCF of 4089,1974 is 141 .

LCM of Denominators means LCM of 598,3644 as per the given fractions.

LCM of 598,3644 is 1089556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4089,1974

GCF of Fractions 4089/598,1974/3644 is 141/1089556

3 4089, 1974
47 1363, 658
29, 14

∴ So the GCF of the given numbers is 3 x 47 = 141

Greatest Common Factor of 4089,1974 By Matching Biggest Common Factor Method

Greatest Common Factor of 4089,1974 By Matching Biggest Common Factor Method

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1,3,29,47,87,141,1363,4089

Factors of 1974

List of positive integer factors of 1974 that divides 1974 without a remainder.

1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974

Greatest Common Factor

We found the factors 4089,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 4089,1974 is 141.

Lets's calculate LCM of 598,3644

2 598, 3644
299, 1822

∴ So the LCM of the given numbers is 2 x 299 x 1822 = 1089556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 141/1089556

Therefore, the GCF of Fractions 4089/598,1974/3644 is 141/1089556

Least Common Multiple of 598,3644 with GCF Formula

Least Common Multiple of 598,3644 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 598,3644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,3644) = 2

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

GCF(598,3644) x common factors =2 x 1 = 2

LCM(598,3644) = ( 598 × 3644 ) / 2

LCM(598,3644) = 2179112 / 2

LCM(598,3644) = 1089556


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 4089/598, 1974/3644

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 4089/598, 1974/3644?

Answer: GCF of Numerators as per given numbers 4089/598, 1974/3644 is

GCF of Numerators i.e. for 4089,1974 is 141

LCM of denominators i.e. for 598,3644 is 1089556.

Thus, GCF of Fractions is 141/1089556.Finally, GCF of Fractions for 4089/598, 1974/3644 is 141/1089556.