Greatest Common Factor of 85/690, 2715/6612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/690, 2715/6612

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 85/690,2715/6612

Given fractions are 85/690,2715/6612

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 85,2715

Greatest Common Factor of Numerators i.e. GCF of 85,2715 is 5 .

LCM of Denominators means LCM of 690,6612 as per the given fractions.

LCM of 690,6612 is 760380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,2715

GCF of Fractions 85/690,2715/6612 is 5/760380

5 85, 2715
17, 543

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

Greatest Common Factor of 85,2715 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,2715 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 2715

List of positive integer factors of 2715 that divides 2715 without a remainder.

1,3,5,15,181,543,905,2715

Greatest Common Factor

We found the factors 85,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 85,2715 is 5.

Lets's calculate LCM of 690,6612

2 690, 6612
3 345, 3306
115, 1102

∴ So the LCM of the given numbers is 2 x 3 x 115 x 1102 = 760380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/760380

Therefore, the GCF of Fractions 85/690,2715/6612 is 5/760380

Least Common Multiple of 690,6612 with GCF Formula

Least Common Multiple of 690,6612 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 690,6612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,6612) = 6

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

GCF(690,6612) x common factors =6 x 1 = 6

LCM(690,6612) = ( 690 × 6612 ) / 6

LCM(690,6612) = 4562280 / 6

LCM(690,6612) = 760380


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 85/690, 2715/6612

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 85/690, 2715/6612?

Answer: GCF of Numerators as per given numbers 85/690, 2715/6612 is

GCF of Numerators i.e. for 85,2715 is 5

LCM of denominators i.e. for 690,6612 is 760380.

Thus, GCF of Fractions is 5/760380.Finally, GCF of Fractions for 85/690, 2715/6612 is 5/760380.