Greatest Common Factor of 1035/94, 6695/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1035/94, 6695/313

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 1035/94,6695/313

Given fractions are 1035/94,6695/313

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 1035,6695

Greatest Common Factor of Numerators i.e. GCF of 1035,6695 is 5 .

LCM of Denominators means LCM of 94,313 as per the given fractions.

LCM of 94,313 is 29422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1035,6695

GCF of Fractions 1035/94,6695/313 is 5/29422

5 1035, 6695
207, 1339

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1035,6695 By Matching Biggest Common Factor Method

Greatest Common Factor of 1035,6695 By Matching Biggest Common Factor Method

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1,3,5,9,15,23,45,69,115,207,345,1035

Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1,5,13,65,103,515,1339,6695

Greatest Common Factor

We found the factors 1035,6695 . The biggest common factor number is the GCF number.
So the greatest common factor 1035,6695 is 5.

Lets's calculate LCM of 94,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 29422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29422

Therefore, the GCF of Fractions 1035/94,6695/313 is 5/29422

Least Common Multiple of 94,313 with GCF Formula

Least Common Multiple of 94,313 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 94,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,313) = 1

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

GCF(94,313) x common factors =1 x 1 = 1

LCM(94,313) = ( 94 × 313 ) / 1

LCM(94,313) = 29422 / 1

LCM(94,313) = 29422


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 1035/94, 6695/313

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 1035/94, 6695/313?

Answer: GCF of Numerators as per given numbers 1035/94, 6695/313 is

GCF of Numerators i.e. for 1035,6695 is 5

LCM of denominators i.e. for 94,313 is 29422.

Thus, GCF of Fractions is 5/29422.Finally, GCF of Fractions for 1035/94, 6695/313 is 5/29422.