Greatest Common Factor of 2646/675, 5828/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2646/675, 5828/720

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 2646/675,5828/720

Given fractions are 2646/675,5828/720

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 2646,5828

Greatest Common Factor of Numerators i.e. GCF of 2646,5828 is 2 .

LCM of Denominators means LCM of 675,720 as per the given fractions.

LCM of 675,720 is 10800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2646,5828

GCF of Fractions 2646/675,5828/720 is 2/10800

2 2646, 5828
1323, 2914

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

Greatest Common Factor of 2646,5828 By Matching Biggest Common Factor Method

Greatest Common Factor of 2646,5828 By Matching Biggest Common Factor Method

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1,2,4,31,47,62,94,124,188,1457,2914,5828

Greatest Common Factor

We found the factors 2646,5828 . The biggest common factor number is the GCF number.
So the greatest common factor 2646,5828 is 2.

Lets's calculate LCM of 675,720

3 675, 720
3 225, 240
5 75, 80
15, 16

∴ So the LCM of the given numbers is 3 x 3 x 5 x 15 x 16 = 10800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10800

Therefore, the GCF of Fractions 2646/675,5828/720 is 2/10800

Least Common Multiple of 675,720 with GCF Formula

Least Common Multiple of 675,720 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 675,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,720) = 45

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

GCF(675,720) x common factors =45 x 1 = 45

LCM(675,720) = ( 675 × 720 ) / 45

LCM(675,720) = 486000 / 45

LCM(675,720) = 10800


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 2646/675, 5828/720

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 2646/675, 5828/720?

Answer: GCF of Numerators as per given numbers 2646/675, 5828/720 is

GCF of Numerators i.e. for 2646,5828 is 2

LCM of denominators i.e. for 675,720 is 10800.

Thus, GCF of Fractions is 2/10800.Finally, GCF of Fractions for 2646/675, 5828/720 is 2/10800.