Greatest Common Factor of 5760/713, 1644/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5760/713, 1644/628

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 5760/713,1644/628

Given fractions are 5760/713,1644/628

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 5760,1644

Greatest Common Factor of Numerators i.e. GCF of 5760,1644 is 12 .

LCM of Denominators means LCM of 713,628 as per the given fractions.

LCM of 713,628 is 447764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5760,1644

GCF of Fractions 5760/713,1644/628 is 12/447764

2 5760, 1644
2 2880, 822
3 1440, 411
480, 137

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

Greatest Common Factor of 5760,1644 By Matching Biggest Common Factor Method

Greatest Common Factor of 5760,1644 By Matching Biggest Common Factor Method

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors 5760,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 5760,1644 is 12.

Lets's calculate LCM of 713,628

Given numbers has no common factors except 1. So, there LCM is their product i.e 447764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/447764

Therefore, the GCF of Fractions 5760/713,1644/628 is 12/447764

Least Common Multiple of 713,628 with GCF Formula

Least Common Multiple of 713,628 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 713,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,628) = 1

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

GCF(713,628) x common factors =1 x 1 = 1

LCM(713,628) = ( 713 × 628 ) / 1

LCM(713,628) = 447764 / 1

LCM(713,628) = 447764


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 5760/713, 1644/628

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 5760/713, 1644/628?

Answer: GCF of Numerators as per given numbers 5760/713, 1644/628 is

GCF of Numerators i.e. for 5760,1644 is 12

LCM of denominators i.e. for 713,628 is 447764.

Thus, GCF of Fractions is 12/447764.Finally, GCF of Fractions for 5760/713, 1644/628 is 12/447764.