Greatest Common Factor of 80/353, 5958/3643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/353, 5958/3643

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 80/353,5958/3643

Given fractions are 80/353,5958/3643

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 80,5958

Greatest Common Factor of Numerators i.e. GCF of 80,5958 is 2 .

LCM of Denominators means LCM of 353,3643 as per the given fractions.

LCM of 353,3643 is 1285979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,5958

GCF of Fractions 80/353,5958/3643 is 2/1285979

2 80, 5958
40, 2979

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 80,5958 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,5958 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1,2,3,6,9,18,331,662,993,1986,2979,5958

Greatest Common Factor

We found the factors 80,5958 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5958 is 2.

Lets's calculate LCM of 353,3643

Given numbers has no common factors except 1. So, there LCM is their product i.e 1285979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1285979

Therefore, the GCF of Fractions 80/353,5958/3643 is 2/1285979

Least Common Multiple of 353,3643 with GCF Formula

Least Common Multiple of 353,3643 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 353,3643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,3643) = 1

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

GCF(353,3643) x common factors =1 x 1 = 1

LCM(353,3643) = ( 353 × 3643 ) / 1

LCM(353,3643) = 1285979 / 1

LCM(353,3643) = 1285979


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 80/353, 5958/3643

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 80/353, 5958/3643?

Answer: GCF of Numerators as per given numbers 80/353, 5958/3643 is

GCF of Numerators i.e. for 80,5958 is 2

LCM of denominators i.e. for 353,3643 is 1285979.

Thus, GCF of Fractions is 2/1285979.Finally, GCF of Fractions for 80/353, 5958/3643 is 2/1285979.