Greatest Common Factor of 6655/123, 2122/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6655/123, 2122/763

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 6655/123,2122/763

Given fractions are 6655/123,2122/763

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 6655,2122

Greatest Common Factor of Numerators i.e. GCF of 6655,2122 is 1 .

LCM of Denominators means LCM of 123,763 as per the given fractions.

LCM of 123,763 is 93849 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6655,2122

GCF of Fractions 6655/123,2122/763 is 1/93849

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

Greatest Common Factor of 6655,2122 By Matching Biggest Common Factor Method

Greatest Common Factor of 6655,2122 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 2122

List of positive integer factors of 2122 that divides 2122 without a remainder.

1,2,1061,2122

Greatest Common Factor

We found the factors 6655,2122 . The biggest common factor number is the GCF number.
So the greatest common factor 6655,2122 is 1.

Lets's calculate LCM of 123,763

Given numbers has no common factors except 1. So, there LCM is their product i.e 93849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93849

Therefore, the GCF of Fractions 6655/123,2122/763 is 1/93849

Least Common Multiple of 123,763 with GCF Formula

Least Common Multiple of 123,763 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 123,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,763) = 1

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

GCF(123,763) x common factors =1 x 1 = 1

LCM(123,763) = ( 123 × 763 ) / 1

LCM(123,763) = 93849 / 1

LCM(123,763) = 93849


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 6655/123, 2122/763

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 6655/123, 2122/763?

Answer: GCF of Numerators as per given numbers 6655/123, 2122/763 is

GCF of Numerators i.e. for 6655,2122 is 1

LCM of denominators i.e. for 123,763 is 93849.

Thus, GCF of Fractions is 1/93849.Finally, GCF of Fractions for 6655/123, 2122/763 is 1/93849.