Greatest Common Factor of 5668/648, 2040/3156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5668/648, 2040/3156

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 5668/648,2040/3156

Given fractions are 5668/648,2040/3156

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 5668,2040

Greatest Common Factor of Numerators i.e. GCF of 5668,2040 is 4 .

LCM of Denominators means LCM of 648,3156 as per the given fractions.

LCM of 648,3156 is 170424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5668,2040

GCF of Fractions 5668/648,2040/3156 is 4/170424

2 5668, 2040
2 2834, 1020
1417, 510

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5668,2040 By Matching Biggest Common Factor Method

Greatest Common Factor of 5668,2040 By Matching Biggest Common Factor Method

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1,2,4,13,26,52,109,218,436,1417,2834,5668

Factors of 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040

Greatest Common Factor

We found the factors 5668,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 5668,2040 is 4.

Lets's calculate LCM of 648,3156

2 648, 3156
2 324, 1578
3 162, 789
54, 263

∴ So the LCM of the given numbers is 2 x 2 x 3 x 54 x 263 = 170424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/170424

Therefore, the GCF of Fractions 5668/648,2040/3156 is 4/170424

Least Common Multiple of 648,3156 with GCF Formula

Least Common Multiple of 648,3156 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 648,3156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,3156) = 12

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

GCF(648,3156) x common factors =12 x 1 = 12

LCM(648,3156) = ( 648 × 3156 ) / 12

LCM(648,3156) = 2045088 / 12

LCM(648,3156) = 170424


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 5668/648, 2040/3156

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 5668/648, 2040/3156?

Answer: GCF of Numerators as per given numbers 5668/648, 2040/3156 is

GCF of Numerators i.e. for 5668,2040 is 4

LCM of denominators i.e. for 648,3156 is 170424.

Thus, GCF of Fractions is 4/170424.Finally, GCF of Fractions for 5668/648, 2040/3156 is 4/170424.