Greatest Common Factor of 720/486, 9810/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 720/486, 9810/414

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 720/486,9810/414

Given fractions are 720/486,9810/414

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 720,9810

Greatest Common Factor of Numerators i.e. GCF of 720,9810 is 90 .

LCM of Denominators means LCM of 486,414 as per the given fractions.

LCM of 486,414 is 11178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 720,9810

GCF of Fractions 720/486,9810/414 is 90/11178

2 720, 9810
3 360, 4905
3 120, 1635
5 40, 545
8, 109

∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90

Greatest Common Factor of 720,9810 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,9810 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 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810

Greatest Common Factor

We found the factors 720,9810 . The biggest common factor number is the GCF number.
So the greatest common factor 720,9810 is 90.

Lets's calculate LCM of 486,414

2 486, 414
3 243, 207
3 81, 69
27, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 27 x 23 = 11178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/11178

Therefore, the GCF of Fractions 720/486,9810/414 is 90/11178

Least Common Multiple of 486,414 with GCF Formula

Least Common Multiple of 486,414 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 486,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,414) = 18

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

GCF(486,414) x common factors =18 x 1 = 18

LCM(486,414) = ( 486 × 414 ) / 18

LCM(486,414) = 201204 / 18

LCM(486,414) = 11178


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 720/486, 9810/414

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 720/486, 9810/414?

Answer: GCF of Numerators as per given numbers 720/486, 9810/414 is

GCF of Numerators i.e. for 720,9810 is 90

LCM of denominators i.e. for 486,414 is 11178.

Thus, GCF of Fractions is 90/11178.Finally, GCF of Fractions for 720/486, 9810/414 is 90/11178.