Greatest Common Factor of 288/62, 277/24, 124/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/62, 277/24, 124/72

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 288/62,277/24,124/72

Given fractions are 288/62,277/24,124/72

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 288,277,124

Greatest Common Factor of Numerators i.e. GCF of 288,277,124 is 1 .

LCM of Denominators means LCM of 62,24,72 as per the given fractions.

LCM of 62,24,72 is 2232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,277,124

GCF of Fractions 288/62,277/24,124/72 is 1/2232

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 288,277,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,277,124 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 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 288,277,124 . The biggest common factor number is the GCF number.
So the greatest common factor 288,277,124 is 1.

Lets's calculate LCM of 62,24,72

2 62, 24, 72
2 31, 12, 36
2 31, 6, 18
3 31, 3, 9
31, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 1 x 3 = 2232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2232

Therefore, the GCF of Fractions 288/62,277/24,124/72 is 1/2232

Least Common Multiple of 62,24,72 with GCF Formula

Least Common Multiple of 62,24,72 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 62,24,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,24,72) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(62,24,72) x common factors =2 x 24 = 48

LCM(62,24,72) = ( 62 × 24 × 72 ) / 48

LCM(62,24,72) = 107136 / 48

LCM(62,24,72) = 2232


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 288/62, 277/24, 124/72

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 288/62, 277/24, 124/72?

Answer: GCF of Numerators as per given numbers 288/62, 277/24, 124/72 is

GCF of Numerators i.e. for 288,277,124 is 1

LCM of denominators i.e. for 62,24,72 is 2232.

Thus, GCF of Fractions is 1/2232.Finally, GCF of Fractions for 288/62, 277/24, 124/72 is 1/2232.