Greatest Common Factor of 2679/305, 2215/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2679/305, 2215/511

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 2679/305,2215/511

Given fractions are 2679/305,2215/511

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 2679,2215

Greatest Common Factor of Numerators i.e. GCF of 2679,2215 is 1 .

LCM of Denominators means LCM of 305,511 as per the given fractions.

LCM of 305,511 is 155855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2679,2215

GCF of Fractions 2679/305,2215/511 is 1/155855

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

Greatest Common Factor of 2679,2215 By Matching Biggest Common Factor Method

Greatest Common Factor of 2679,2215 By Matching Biggest Common Factor Method

Factors of 2679

List of positive integer factors of 2679 that divides 2679 without a remainder.

1,3,19,47,57,141,893,2679

Factors of 2215

List of positive integer factors of 2215 that divides 2215 without a remainder.

1,5,443,2215

Greatest Common Factor

We found the factors 2679,2215 . The biggest common factor number is the GCF number.
So the greatest common factor 2679,2215 is 1.

Lets's calculate LCM of 305,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 155855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155855

Therefore, the GCF of Fractions 2679/305,2215/511 is 1/155855

Least Common Multiple of 305,511 with GCF Formula

Least Common Multiple of 305,511 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 305,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,511) = 1

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

GCF(305,511) x common factors =1 x 1 = 1

LCM(305,511) = ( 305 × 511 ) / 1

LCM(305,511) = 155855 / 1

LCM(305,511) = 155855


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 2679/305, 2215/511

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 2679/305, 2215/511?

Answer: GCF of Numerators as per given numbers 2679/305, 2215/511 is

GCF of Numerators i.e. for 2679,2215 is 1

LCM of denominators i.e. for 305,511 is 155855.

Thus, GCF of Fractions is 1/155855.Finally, GCF of Fractions for 2679/305, 2215/511 is 1/155855.