Greatest Common Factor of 6945/471, 2115/3595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6945/471, 2115/3595

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 6945/471,2115/3595

Given fractions are 6945/471,2115/3595

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 6945,2115

Greatest Common Factor of Numerators i.e. GCF of 6945,2115 is 15 .

LCM of Denominators means LCM of 471,3595 as per the given fractions.

LCM of 471,3595 is 1693245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6945,2115

GCF of Fractions 6945/471,2115/3595 is 15/1693245

3 6945, 2115
5 2315, 705
463, 141

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 6945,2115 By Matching Biggest Common Factor Method

Greatest Common Factor of 6945,2115 By Matching Biggest Common Factor Method

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1,3,5,15,463,1389,2315,6945

Factors of 2115

List of positive integer factors of 2115 that divides 2115 without a remainder.

1,3,5,9,15,45,47,141,235,423,705,2115

Greatest Common Factor

We found the factors 6945,2115 . The biggest common factor number is the GCF number.
So the greatest common factor 6945,2115 is 15.

Lets's calculate LCM of 471,3595

Given numbers has no common factors except 1. So, there LCM is their product i.e 1693245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1693245

Therefore, the GCF of Fractions 6945/471,2115/3595 is 15/1693245

Least Common Multiple of 471,3595 with GCF Formula

Least Common Multiple of 471,3595 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 471,3595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,3595) = 1

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

GCF(471,3595) x common factors =1 x 1 = 1

LCM(471,3595) = ( 471 × 3595 ) / 1

LCM(471,3595) = 1693245 / 1

LCM(471,3595) = 1693245


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 6945/471, 2115/3595

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 6945/471, 2115/3595?

Answer: GCF of Numerators as per given numbers 6945/471, 2115/3595 is

GCF of Numerators i.e. for 6945,2115 is 15

LCM of denominators i.e. for 471,3595 is 1693245.

Thus, GCF of Fractions is 15/1693245.Finally, GCF of Fractions for 6945/471, 2115/3595 is 15/1693245.