Greatest Common Factor of 1013/195, 6007/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1013/195, 6007/291

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 1013/195,6007/291

Given fractions are 1013/195,6007/291

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 1013,6007

Greatest Common Factor of Numerators i.e. GCF of 1013,6007 is 1 .

LCM of Denominators means LCM of 195,291 as per the given fractions.

LCM of 195,291 is 18915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1013,6007

GCF of Fractions 1013/195,6007/291 is 1/18915

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

Greatest Common Factor of 1013,6007 By Matching Biggest Common Factor Method

Greatest Common Factor of 1013,6007 By Matching Biggest Common Factor Method

Factors of 1013

List of positive integer factors of 1013 that divides 1013 without a remainder.

1,1013

Factors of 6007

List of positive integer factors of 6007 that divides 6007 without a remainder.

1,6007

Greatest Common Factor

We found the factors 1013,6007 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,6007 is 1.

Lets's calculate LCM of 195,291

3 195, 291
65, 97

∴ So the LCM of the given numbers is 3 x 65 x 97 = 18915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18915

Therefore, the GCF of Fractions 1013/195,6007/291 is 1/18915

Least Common Multiple of 195,291 with GCF Formula

Least Common Multiple of 195,291 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 195,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,291) = 3

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

GCF(195,291) x common factors =3 x 1 = 3

LCM(195,291) = ( 195 × 291 ) / 3

LCM(195,291) = 56745 / 3

LCM(195,291) = 18915


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 1013/195, 6007/291

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 1013/195, 6007/291?

Answer: GCF of Numerators as per given numbers 1013/195, 6007/291 is

GCF of Numerators i.e. for 1013,6007 is 1

LCM of denominators i.e. for 195,291 is 18915.

Thus, GCF of Fractions is 1/18915.Finally, GCF of Fractions for 1013/195, 6007/291 is 1/18915.