Greatest Common Factor of 5982/310, 4893/9340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5982/310, 4893/9340

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 5982/310,4893/9340

Given fractions are 5982/310,4893/9340

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 5982,4893

Greatest Common Factor of Numerators i.e. GCF of 5982,4893 is 3 .

LCM of Denominators means LCM of 310,9340 as per the given fractions.

LCM of 310,9340 is 289540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5982,4893

GCF of Fractions 5982/310,4893/9340 is 3/289540

3 5982, 4893
1994, 1631

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5982,4893 By Matching Biggest Common Factor Method

Greatest Common Factor of 5982,4893 By Matching Biggest Common Factor Method

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1,2,3,6,997,1994,2991,5982

Factors of 4893

List of positive integer factors of 4893 that divides 4893 without a remainder.

1,3,7,21,233,699,1631,4893

Greatest Common Factor

We found the factors 5982,4893 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,4893 is 3.

Lets's calculate LCM of 310,9340

2 310, 9340
5 155, 4670
31, 934

∴ So the LCM of the given numbers is 2 x 5 x 31 x 934 = 289540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/289540

Therefore, the GCF of Fractions 5982/310,4893/9340 is 3/289540

Least Common Multiple of 310,9340 with GCF Formula

Least Common Multiple of 310,9340 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 310,9340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,9340) = 10

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

GCF(310,9340) x common factors =10 x 1 = 10

LCM(310,9340) = ( 310 × 9340 ) / 10

LCM(310,9340) = 2895400 / 10

LCM(310,9340) = 289540


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 5982/310, 4893/9340

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 5982/310, 4893/9340?

Answer: GCF of Numerators as per given numbers 5982/310, 4893/9340 is

GCF of Numerators i.e. for 5982,4893 is 3

LCM of denominators i.e. for 310,9340 is 289540.

Thus, GCF of Fractions is 3/289540.Finally, GCF of Fractions for 5982/310, 4893/9340 is 3/289540.