Greatest Common Factor of 288/840, 2100/1272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/840, 2100/1272

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 288/840,2100/1272

Given fractions are 288/840,2100/1272

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 288,2100

Greatest Common Factor of Numerators i.e. GCF of 288,2100 is 12 .

LCM of Denominators means LCM of 840,1272 as per the given fractions.

LCM of 840,1272 is 44520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,2100

GCF of Fractions 288/840,2100/1272 is 12/44520

2 288, 2100
2 144, 1050
3 72, 525
24, 175

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 288,2100 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,2100 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 2100

List of positive integer factors of 2100 that divides 2100 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,140,150,175,210,300,350,420,525,700,1050,2100

Greatest Common Factor

We found the factors 288,2100 . The biggest common factor number is the GCF number.
So the greatest common factor 288,2100 is 12.

Lets's calculate LCM of 840,1272

2 840, 1272
2 420, 636
2 210, 318
3 105, 159
35, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 35 x 53 = 44520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/44520

Therefore, the GCF of Fractions 288/840,2100/1272 is 12/44520

Least Common Multiple of 840,1272 with GCF Formula

Least Common Multiple of 840,1272 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 840,1272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,1272) = 24

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

GCF(840,1272) x common factors =24 x 1 = 24

LCM(840,1272) = ( 840 × 1272 ) / 24

LCM(840,1272) = 1068480 / 24

LCM(840,1272) = 44520


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 288/840, 2100/1272

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 288/840, 2100/1272?

Answer: GCF of Numerators as per given numbers 288/840, 2100/1272 is

GCF of Numerators i.e. for 288,2100 is 12

LCM of denominators i.e. for 840,1272 is 44520.

Thus, GCF of Fractions is 12/44520.Finally, GCF of Fractions for 288/840, 2100/1272 is 12/44520.