Greatest Common Factor of 288/160, 136/465, 940/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/160, 136/465, 940/600

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 288/160,136/465,940/600

Given fractions are 288/160,136/465,940/600

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 288,136,940

Greatest Common Factor of Numerators i.e. GCF of 288,136,940 is 4 .

LCM of Denominators means LCM of 160,465,600 as per the given fractions.

LCM of 160,465,600 is 74400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,136,940

GCF of Fractions 288/160,136/465,940/600 is 4/74400

2 288, 136, 940
2 144, 68, 470
72, 34, 235

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 288,136,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,136,940 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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 288,136,940 . The biggest common factor number is the GCF number.
So the greatest common factor 288,136,940 is 4.

Lets's calculate LCM of 160,465,600

2 160, 465, 600
2 80, 465, 300
2 40, 465, 150
3 20, 465, 75
5 20, 155, 25
4, 31, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 31 x 5 = 74400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/74400

Therefore, the GCF of Fractions 288/160,136/465,940/600 is 4/74400

Least Common Multiple of 160,465,600 with GCF Formula

Least Common Multiple of 160,465,600 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 160,465,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,465,600) = 5

common factors(in case of two or more numbers have common factors) = 120

GCF(160,465,600) x common factors =5 x 120 = 600

LCM(160,465,600) = ( 160 × 465 × 600 ) / 600

LCM(160,465,600) = 44640000 / 600

LCM(160,465,600) = 74400


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 288/160, 136/465, 940/600

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 288/160, 136/465, 940/600?

Answer: GCF of Numerators as per given numbers 288/160, 136/465, 940/600 is

GCF of Numerators i.e. for 288,136,940 is 4

LCM of denominators i.e. for 160,465,600 is 74400.

Thus, GCF of Fractions is 4/74400.Finally, GCF of Fractions for 288/160, 136/465, 940/600 is 4/74400.