Greatest Common Factor of 8628/629, 2700/3162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8628/629, 2700/3162

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 8628/629,2700/3162

Given fractions are 8628/629,2700/3162

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 8628,2700

Greatest Common Factor of Numerators i.e. GCF of 8628,2700 is 12 .

LCM of Denominators means LCM of 629,3162 as per the given fractions.

LCM of 629,3162 is 116994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8628,2700

GCF of Fractions 8628/629,2700/3162 is 12/116994

2 8628, 2700
2 4314, 1350
3 2157, 675
719, 225

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

Greatest Common Factor of 8628,2700 By Matching Biggest Common Factor Method

Greatest Common Factor of 8628,2700 By Matching Biggest Common Factor Method

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Factors of 2700

List of positive integer factors of 2700 that divides 2700 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700

Greatest Common Factor

We found the factors 8628,2700 . The biggest common factor number is the GCF number.
So the greatest common factor 8628,2700 is 12.

Lets's calculate LCM of 629,3162

17 629, 3162
37, 186

∴ So the LCM of the given numbers is 17 x 37 x 186 = 116994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/116994

Therefore, the GCF of Fractions 8628/629,2700/3162 is 12/116994

Least Common Multiple of 629,3162 with GCF Formula

Least Common Multiple of 629,3162 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 629,3162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,3162) = 17

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

GCF(629,3162) x common factors =17 x 1 = 17

LCM(629,3162) = ( 629 × 3162 ) / 17

LCM(629,3162) = 1988898 / 17

LCM(629,3162) = 116994


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 8628/629, 2700/3162

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 8628/629, 2700/3162?

Answer: GCF of Numerators as per given numbers 8628/629, 2700/3162 is

GCF of Numerators i.e. for 8628,2700 is 12

LCM of denominators i.e. for 629,3162 is 116994.

Thus, GCF of Fractions is 12/116994.Finally, GCF of Fractions for 8628/629, 2700/3162 is 12/116994.