Greatest Common Factor of 6655/57, 7034/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6655/57, 7034/714

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 6655/57,7034/714

Given fractions are 6655/57,7034/714

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 6655,7034

Greatest Common Factor of Numerators i.e. GCF of 6655,7034 is 1 .

LCM of Denominators means LCM of 57,714 as per the given fractions.

LCM of 57,714 is 13566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6655,7034

GCF of Fractions 6655/57,7034/714 is 1/13566

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

Greatest Common Factor of 6655,7034 By Matching Biggest Common Factor Method

Greatest Common Factor of 6655,7034 By Matching Biggest Common Factor Method

Factors of 6655

List of positive integer factors of 6655 that divides 6655 without a remainder.

1,5,11,55,121,605,1331,6655

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1,2,3517,7034

Greatest Common Factor

We found the factors 6655,7034 . The biggest common factor number is the GCF number.
So the greatest common factor 6655,7034 is 1.

Lets's calculate LCM of 57,714

3 57, 714
19, 238

∴ So the LCM of the given numbers is 3 x 19 x 238 = 13566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13566

Therefore, the GCF of Fractions 6655/57,7034/714 is 1/13566

Least Common Multiple of 57,714 with GCF Formula

Least Common Multiple of 57,714 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 57,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,714) = 3

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

GCF(57,714) x common factors =3 x 1 = 3

LCM(57,714) = ( 57 × 714 ) / 3

LCM(57,714) = 40698 / 3

LCM(57,714) = 13566


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 6655/57, 7034/714

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 6655/57, 7034/714?

Answer: GCF of Numerators as per given numbers 6655/57, 7034/714 is

GCF of Numerators i.e. for 6655,7034 is 1

LCM of denominators i.e. for 57,714 is 13566.

Thus, GCF of Fractions is 1/13566.Finally, GCF of Fractions for 6655/57, 7034/714 is 1/13566.