Greatest Common Factor of 720/749, 172/309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/749, 172/309

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 720/749,172/309

Given fractions are 720/749,172/309

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 720,172

Greatest Common Factor of Numerators i.e. GCF of 720,172 is 4 .

LCM of Denominators means LCM of 749,309 as per the given fractions.

LCM of 749,309 is 231441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,172

GCF of Fractions 720/749,172/309 is 4/231441

2 720, 172
2 360, 86
180, 43

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

Greatest Common Factor of 720,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,172 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 720,172 . The biggest common factor number is the GCF number.
So the greatest common factor 720,172 is 4.

Lets's calculate LCM of 749,309

Given numbers has no common factors except 1. So, there LCM is their product i.e 231441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/231441

Therefore, the GCF of Fractions 720/749,172/309 is 4/231441

Least Common Multiple of 749,309 with GCF Formula

Least Common Multiple of 749,309 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 749,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,309) = 1

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

GCF(749,309) x common factors =1 x 1 = 1

LCM(749,309) = ( 749 × 309 ) / 1

LCM(749,309) = 231441 / 1

LCM(749,309) = 231441


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 720/749, 172/309

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 720/749, 172/309?

Answer: GCF of Numerators as per given numbers 720/749, 172/309 is

GCF of Numerators i.e. for 720,172 is 4

LCM of denominators i.e. for 749,309 is 231441.

Thus, GCF of Fractions is 4/231441.Finally, GCF of Fractions for 720/749, 172/309 is 4/231441.