Greatest Common Factor of 2685/348, 7551/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2685/348, 7551/815

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 2685/348,7551/815

Given fractions are 2685/348,7551/815

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 2685,7551

Greatest Common Factor of Numerators i.e. GCF of 2685,7551 is 3 .

LCM of Denominators means LCM of 348,815 as per the given fractions.

LCM of 348,815 is 283620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2685,7551

GCF of Fractions 2685/348,7551/815 is 3/283620

3 2685, 7551
895, 2517

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2685,7551 By Matching Biggest Common Factor Method

Greatest Common Factor of 2685,7551 By Matching Biggest Common Factor Method

Factors of 2685

List of positive integer factors of 2685 that divides 2685 without a remainder.

1,3,5,15,179,537,895,2685

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1,3,9,839,2517,7551

Greatest Common Factor

We found the factors 2685,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 2685,7551 is 3.

Lets's calculate LCM of 348,815

Given numbers has no common factors except 1. So, there LCM is their product i.e 283620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/283620

Therefore, the GCF of Fractions 2685/348,7551/815 is 3/283620

Least Common Multiple of 348,815 with GCF Formula

Least Common Multiple of 348,815 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 348,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,815) = 1

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

GCF(348,815) x common factors =1 x 1 = 1

LCM(348,815) = ( 348 × 815 ) / 1

LCM(348,815) = 283620 / 1

LCM(348,815) = 283620


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 2685/348, 7551/815

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 2685/348, 7551/815?

Answer: GCF of Numerators as per given numbers 2685/348, 7551/815 is

GCF of Numerators i.e. for 2685,7551 is 3

LCM of denominators i.e. for 348,815 is 283620.

Thus, GCF of Fractions is 3/283620.Finally, GCF of Fractions for 2685/348, 7551/815 is 3/283620.