Greatest Common Factor of 2880/84, 7740/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2880/84, 7740/208

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 2880/84,7740/208

Given fractions are 2880/84,7740/208

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 2880,7740

Greatest Common Factor of Numerators i.e. GCF of 2880,7740 is 180 .

LCM of Denominators means LCM of 84,208 as per the given fractions.

LCM of 84,208 is 4368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2880,7740

GCF of Fractions 2880/84,7740/208 is 180/4368

2 2880, 7740
2 1440, 3870
3 720, 1935
3 240, 645
5 80, 215
16, 43

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 5 = 180

Greatest Common Factor of 2880,7740 By Matching Biggest Common Factor Method

Greatest Common Factor of 2880,7740 By Matching Biggest Common Factor Method

Factors of 2880

List of positive integer factors of 2880 that divides 2880 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Greatest Common Factor

We found the factors 2880,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 2880,7740 is 180.

Lets's calculate LCM of 84,208

2 84, 208
2 42, 104
21, 52

∴ So the LCM of the given numbers is 2 x 2 x 21 x 52 = 4368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 180/4368

Therefore, the GCF of Fractions 2880/84,7740/208 is 180/4368

Least Common Multiple of 84,208 with GCF Formula

Least Common Multiple of 84,208 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 84,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,208) = 4

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

GCF(84,208) x common factors =4 x 1 = 4

LCM(84,208) = ( 84 × 208 ) / 4

LCM(84,208) = 17472 / 4

LCM(84,208) = 4368


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 2880/84, 7740/208

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 2880/84, 7740/208?

Answer: GCF of Numerators as per given numbers 2880/84, 7740/208 is

GCF of Numerators i.e. for 2880,7740 is 180

LCM of denominators i.e. for 84,208 is 4368.

Thus, GCF of Fractions is 180/4368.Finally, GCF of Fractions for 2880/84, 7740/208 is 180/4368.