Greatest Common Factor of 6113/83, 3814/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6113/83, 3814/973

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 6113/83,3814/973

Given fractions are 6113/83,3814/973

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 6113,3814

Greatest Common Factor of Numerators i.e. GCF of 6113,3814 is 1 .

LCM of Denominators means LCM of 83,973 as per the given fractions.

LCM of 83,973 is 80759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6113,3814

GCF of Fractions 6113/83,3814/973 is 1/80759

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

Greatest Common Factor of 6113,3814 By Matching Biggest Common Factor Method

Greatest Common Factor of 6113,3814 By Matching Biggest Common Factor Method

Factors of 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1,6113

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Greatest Common Factor

We found the factors 6113,3814 . The biggest common factor number is the GCF number.
So the greatest common factor 6113,3814 is 1.

Lets's calculate LCM of 83,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 80759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80759

Therefore, the GCF of Fractions 6113/83,3814/973 is 1/80759

Least Common Multiple of 83,973 with GCF Formula

Least Common Multiple of 83,973 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 83,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,973) = 1

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

GCF(83,973) x common factors =1 x 1 = 1

LCM(83,973) = ( 83 × 973 ) / 1

LCM(83,973) = 80759 / 1

LCM(83,973) = 80759


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 6113/83, 3814/973

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 6113/83, 3814/973?

Answer: GCF of Numerators as per given numbers 6113/83, 3814/973 is

GCF of Numerators i.e. for 6113,3814 is 1

LCM of denominators i.e. for 83,973 is 80759.

Thus, GCF of Fractions is 1/80759.Finally, GCF of Fractions for 6113/83, 3814/973 is 1/80759.