Greatest Common Factor of 288/51, 1416/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/51, 1416/412

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 288/51,1416/412

Given fractions are 288/51,1416/412

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 288,1416

Greatest Common Factor of Numerators i.e. GCF of 288,1416 is 24 .

LCM of Denominators means LCM of 51,412 as per the given fractions.

LCM of 51,412 is 21012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,1416

GCF of Fractions 288/51,1416/412 is 24/21012

2 288, 1416
2 144, 708
2 72, 354
3 36, 177
12, 59

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 288,1416 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,1416 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 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Greatest Common Factor

We found the factors 288,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 288,1416 is 24.

Lets's calculate LCM of 51,412

Given numbers has no common factors except 1. So, there LCM is their product i.e 21012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/21012

Therefore, the GCF of Fractions 288/51,1416/412 is 24/21012

Least Common Multiple of 51,412 with GCF Formula

Least Common Multiple of 51,412 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 51,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,412) = 1

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

GCF(51,412) x common factors =1 x 1 = 1

LCM(51,412) = ( 51 × 412 ) / 1

LCM(51,412) = 21012 / 1

LCM(51,412) = 21012


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 288/51, 1416/412

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 288/51, 1416/412?

Answer: GCF of Numerators as per given numbers 288/51, 1416/412 is

GCF of Numerators i.e. for 288,1416 is 24

LCM of denominators i.e. for 51,412 is 21012.

Thus, GCF of Fractions is 24/21012.Finally, GCF of Fractions for 288/51, 1416/412 is 24/21012.