Greatest Common Factor of 260/12, 978/2700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/12, 978/2700

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 260/12,978/2700

Given fractions are 260/12,978/2700

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 260,978

Greatest Common Factor of Numerators i.e. GCF of 260,978 is 2 .

LCM of Denominators means LCM of 12,2700 as per the given fractions.

LCM of 12,2700 is 2700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,978

GCF of Fractions 260/12,978/2700 is 2/2700

2 260, 978
130, 489

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 260,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,978 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 260,978 . The biggest common factor number is the GCF number.
So the greatest common factor 260,978 is 2.

Lets's calculate LCM of 12,2700

2 12, 2700
2 6, 1350
3 3, 675
1, 225

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 225 = 2700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2700

Therefore, the GCF of Fractions 260/12,978/2700 is 2/2700

Least Common Multiple of 12,2700 with GCF Formula

Least Common Multiple of 12,2700 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 12,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,2700) = 12

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

GCF(12,2700) x common factors =12 x 1 = 12

LCM(12,2700) = ( 12 × 2700 ) / 12

LCM(12,2700) = 32400 / 12

LCM(12,2700) = 2700


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 260/12, 978/2700

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 260/12, 978/2700?

Answer: GCF of Numerators as per given numbers 260/12, 978/2700 is

GCF of Numerators i.e. for 260,978 is 2

LCM of denominators i.e. for 12,2700 is 2700.

Thus, GCF of Fractions is 2/2700.Finally, GCF of Fractions for 260/12, 978/2700 is 2/2700.