Greatest Common Factor of 8123/664, 2655/2660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8123/664, 2655/2660

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 8123/664,2655/2660

Given fractions are 8123/664,2655/2660

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 8123,2655

Greatest Common Factor of Numerators i.e. GCF of 8123,2655 is 1 .

LCM of Denominators means LCM of 664,2660 as per the given fractions.

LCM of 664,2660 is 441560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8123,2655

GCF of Fractions 8123/664,2655/2660 is 1/441560

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

Greatest Common Factor of 8123,2655 By Matching Biggest Common Factor Method

Greatest Common Factor of 8123,2655 By Matching Biggest Common Factor Method

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1,8123

Factors of 2655

List of positive integer factors of 2655 that divides 2655 without a remainder.

1,3,5,9,15,45,59,177,295,531,885,2655

Greatest Common Factor

We found the factors 8123,2655 . The biggest common factor number is the GCF number.
So the greatest common factor 8123,2655 is 1.

Lets's calculate LCM of 664,2660

2 664, 2660
2 332, 1330
166, 665

∴ So the LCM of the given numbers is 2 x 2 x 166 x 665 = 441560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441560

Therefore, the GCF of Fractions 8123/664,2655/2660 is 1/441560

Least Common Multiple of 664,2660 with GCF Formula

Least Common Multiple of 664,2660 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 664,2660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,2660) = 4

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

GCF(664,2660) x common factors =4 x 1 = 4

LCM(664,2660) = ( 664 × 2660 ) / 4

LCM(664,2660) = 1766240 / 4

LCM(664,2660) = 441560


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 8123/664, 2655/2660

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 8123/664, 2655/2660?

Answer: GCF of Numerators as per given numbers 8123/664, 2655/2660 is

GCF of Numerators i.e. for 8123,2655 is 1

LCM of denominators i.e. for 664,2660 is 441560.

Thus, GCF of Fractions is 1/441560.Finally, GCF of Fractions for 8123/664, 2655/2660 is 1/441560.