Greatest Common Factor of 144/818, 2896/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 144/818, 2896/210

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 144/818,2896/210

Given fractions are 144/818,2896/210

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 144,2896

Greatest Common Factor of Numerators i.e. GCF of 144,2896 is 16 .

LCM of Denominators means LCM of 818,210 as per the given fractions.

LCM of 818,210 is 85890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 144,2896

GCF of Fractions 144/818,2896/210 is 16/85890

2 144, 2896
2 72, 1448
2 36, 724
2 18, 362
9, 181

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 144,2896 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,2896 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

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

Factors of 2896

List of positive integer factors of 2896 that divides 2896 without a remainder.

1,2,4,8,16,181,362,724,1448,2896

Greatest Common Factor

We found the factors 144,2896 . The biggest common factor number is the GCF number.
So the greatest common factor 144,2896 is 16.

Lets's calculate LCM of 818,210

2 818, 210
409, 105

∴ So the LCM of the given numbers is 2 x 409 x 105 = 85890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/85890

Therefore, the GCF of Fractions 144/818,2896/210 is 16/85890

Least Common Multiple of 818,210 with GCF Formula

Least Common Multiple of 818,210 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 818,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,210) = 2

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

GCF(818,210) x common factors =2 x 1 = 2

LCM(818,210) = ( 818 × 210 ) / 2

LCM(818,210) = 171780 / 2

LCM(818,210) = 85890


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 144/818, 2896/210

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 144/818, 2896/210?

Answer: GCF of Numerators as per given numbers 144/818, 2896/210 is

GCF of Numerators i.e. for 144,2896 is 16

LCM of denominators i.e. for 818,210 is 85890.

Thus, GCF of Fractions is 16/85890.Finally, GCF of Fractions for 144/818, 2896/210 is 16/85890.