Greatest Common Factor of 5980/43, 3418/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5980/43, 3418/957

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 5980/43,3418/957

Given fractions are 5980/43,3418/957

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 5980,3418

Greatest Common Factor of Numerators i.e. GCF of 5980,3418 is 2 .

LCM of Denominators means LCM of 43,957 as per the given fractions.

LCM of 43,957 is 41151 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5980,3418

GCF of Fractions 5980/43,3418/957 is 2/41151

2 5980, 3418
2990, 1709

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

Greatest Common Factor of 5980,3418 By Matching Biggest Common Factor Method

Greatest Common Factor of 5980,3418 By Matching Biggest Common Factor Method

Factors of 5980

List of positive integer factors of 5980 that divides 5980 without a remainder.

1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1,2,1709,3418

Greatest Common Factor

We found the factors 5980,3418 . The biggest common factor number is the GCF number.
So the greatest common factor 5980,3418 is 2.

Lets's calculate LCM of 43,957

Given numbers has no common factors except 1. So, there LCM is their product i.e 41151

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41151

Therefore, the GCF of Fractions 5980/43,3418/957 is 2/41151

Least Common Multiple of 43,957 with GCF Formula

Least Common Multiple of 43,957 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 43,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,957) = 1

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

GCF(43,957) x common factors =1 x 1 = 1

LCM(43,957) = ( 43 × 957 ) / 1

LCM(43,957) = 41151 / 1

LCM(43,957) = 41151


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 5980/43, 3418/957

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 5980/43, 3418/957?

Answer: GCF of Numerators as per given numbers 5980/43, 3418/957 is

GCF of Numerators i.e. for 5980,3418 is 2

LCM of denominators i.e. for 43,957 is 41151.

Thus, GCF of Fractions is 2/41151.Finally, GCF of Fractions for 5980/43, 3418/957 is 2/41151.