Greatest Common Factor of 2700/276, 8388/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2700/276, 8388/761

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 2700/276,8388/761

Given fractions are 2700/276,8388/761

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 2700,8388

Greatest Common Factor of Numerators i.e. GCF of 2700,8388 is 36 .

LCM of Denominators means LCM of 276,761 as per the given fractions.

LCM of 276,761 is 210036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2700,8388

GCF of Fractions 2700/276,8388/761 is 36/210036

2 2700, 8388
2 1350, 4194
3 675, 2097
3 225, 699
75, 233

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 2700,8388 By Matching Biggest Common Factor Method

Greatest Common Factor of 2700,8388 By Matching Biggest Common Factor Method

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388

Greatest Common Factor

We found the factors 2700,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,8388 is 36.

Lets's calculate LCM of 276,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 210036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/210036

Therefore, the GCF of Fractions 2700/276,8388/761 is 36/210036

Least Common Multiple of 276,761 with GCF Formula

Least Common Multiple of 276,761 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 276,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,761) = 1

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

GCF(276,761) x common factors =1 x 1 = 1

LCM(276,761) = ( 276 × 761 ) / 1

LCM(276,761) = 210036 / 1

LCM(276,761) = 210036


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 2700/276, 8388/761

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 2700/276, 8388/761?

Answer: GCF of Numerators as per given numbers 2700/276, 8388/761 is

GCF of Numerators i.e. for 2700,8388 is 36

LCM of denominators i.e. for 276,761 is 210036.

Thus, GCF of Fractions is 36/210036.Finally, GCF of Fractions for 2700/276, 8388/761 is 36/210036.