Greatest Common Factor of 72/35, 42/29, 288/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/35, 42/29, 288/606

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 72/35,42/29,288/606

Given fractions are 72/35,42/29,288/606

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 72,42,288

Greatest Common Factor of Numerators i.e. GCF of 72,42,288 is 6 .

LCM of Denominators means LCM of 35,29,606 as per the given fractions.

LCM of 35,29,606 is 615090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,42,288

GCF of Fractions 72/35,42/29,288/606 is 6/615090

2 72, 42, 288
3 36, 21, 144
12, 7, 48

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 72,42,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,42,288 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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

Greatest Common Factor

We found the factors 72,42,288 . The biggest common factor number is the GCF number.
So the greatest common factor 72,42,288 is 6.

Lets's calculate LCM of 35,29,606

Given numbers has no common factors except 1. So, there LCM is their product i.e 615090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/615090

Therefore, the GCF of Fractions 72/35,42/29,288/606 is 6/615090

Least Common Multiple of 35,29,606 with GCF Formula

Least Common Multiple of 35,29,606 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 35,29,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,29,606) = 1

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

GCF(35,29,606) x common factors =1 x 1 = 1

LCM(35,29,606) = ( 35 × 29 × 606 ) / 1

LCM(35,29,606) = 615090 / 1

LCM(35,29,606) = 615090


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 72/35, 42/29, 288/606

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 72/35, 42/29, 288/606?

Answer: GCF of Numerators as per given numbers 72/35, 42/29, 288/606 is

GCF of Numerators i.e. for 72,42,288 is 6

LCM of denominators i.e. for 35,29,606 is 615090.

Thus, GCF of Fractions is 6/615090.Finally, GCF of Fractions for 72/35, 42/29, 288/606 is 6/615090.