Greatest Common Factor of 720/447, 750/643, 940/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/447, 750/643, 940/683

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 720/447,750/643,940/683

Given fractions are 720/447,750/643,940/683

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 720,750,940

Greatest Common Factor of Numerators i.e. GCF of 720,750,940 is 10 .

LCM of Denominators means LCM of 447,643,683 as per the given fractions.

LCM of 447,643,683 is 196308543 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,750,940

GCF of Fractions 720/447,750/643,940/683 is 10/196308543

2 720, 750, 940
5 360, 375, 470
72, 75, 94

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 720,750,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,750,940 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 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

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 720,750,940 . The biggest common factor number is the GCF number.
So the greatest common factor 720,750,940 is 10.

Lets's calculate LCM of 447,643,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 196308543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/196308543

Therefore, the GCF of Fractions 720/447,750/643,940/683 is 10/196308543

Least Common Multiple of 447,643,683 with GCF Formula

Least Common Multiple of 447,643,683 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 447,643,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,643,683) = 1

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

GCF(447,643,683) x common factors =1 x 1 = 1

LCM(447,643,683) = ( 447 × 643 × 683 ) / 1

LCM(447,643,683) = 196308543 / 1

LCM(447,643,683) = 196308543


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 720/447, 750/643, 940/683

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 720/447, 750/643, 940/683?

Answer: GCF of Numerators as per given numbers 720/447, 750/643, 940/683 is

GCF of Numerators i.e. for 720,750,940 is 10

LCM of denominators i.e. for 447,643,683 is 196308543.

Thus, GCF of Fractions is 10/196308543.Finally, GCF of Fractions for 720/447, 750/643, 940/683 is 10/196308543.