Greatest Common Factor of 636/829, 720/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/829, 720/283

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 636/829,720/283

Given fractions are 636/829,720/283

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 636,720

Greatest Common Factor of Numerators i.e. GCF of 636,720 is 12 .

LCM of Denominators means LCM of 829,283 as per the given fractions.

LCM of 829,283 is 234607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,720

GCF of Fractions 636/829,720/283 is 12/234607

2 636, 720
2 318, 360
3 159, 180
53, 60

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 636,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,720 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

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

Greatest Common Factor

We found the factors 636,720 . The biggest common factor number is the GCF number.
So the greatest common factor 636,720 is 12.

Lets's calculate LCM of 829,283

Given numbers has no common factors except 1. So, there LCM is their product i.e 234607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/234607

Therefore, the GCF of Fractions 636/829,720/283 is 12/234607

Least Common Multiple of 829,283 with GCF Formula

Least Common Multiple of 829,283 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 829,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,283) = 1

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

GCF(829,283) x common factors =1 x 1 = 1

LCM(829,283) = ( 829 × 283 ) / 1

LCM(829,283) = 234607 / 1

LCM(829,283) = 234607


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 636/829, 720/283

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 636/829, 720/283?

Answer: GCF of Numerators as per given numbers 636/829, 720/283 is

GCF of Numerators i.e. for 636,720 is 12

LCM of denominators i.e. for 829,283 is 234607.

Thus, GCF of Fractions is 12/234607.Finally, GCF of Fractions for 636/829, 720/283 is 12/234607.