Greatest Common Factor of 5184/70, 1506/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5184/70, 1506/684

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 5184/70,1506/684

Given fractions are 5184/70,1506/684

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 5184,1506

Greatest Common Factor of Numerators i.e. GCF of 5184,1506 is 6 .

LCM of Denominators means LCM of 70,684 as per the given fractions.

LCM of 70,684 is 23940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5184,1506

GCF of Fractions 5184/70,1506/684 is 6/23940

2 5184, 1506
3 2592, 753
864, 251

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5184,1506 By Matching Biggest Common Factor Method

Greatest Common Factor of 5184,1506 By Matching Biggest Common Factor Method

Factors of 5184

List of positive integer factors of 5184 that divides 5184 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,81,96,108,144,162,192,216,288,324,432,576,648,864,1296,1728,2592,5184

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors 5184,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 5184,1506 is 6.

Lets's calculate LCM of 70,684

2 70, 684
35, 342

∴ So the LCM of the given numbers is 2 x 35 x 342 = 23940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/23940

Therefore, the GCF of Fractions 5184/70,1506/684 is 6/23940

Least Common Multiple of 70,684 with GCF Formula

Least Common Multiple of 70,684 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 70,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,684) = 2

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

GCF(70,684) x common factors =2 x 1 = 2

LCM(70,684) = ( 70 × 684 ) / 2

LCM(70,684) = 47880 / 2

LCM(70,684) = 23940


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 5184/70, 1506/684

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 5184/70, 1506/684?

Answer: GCF of Numerators as per given numbers 5184/70, 1506/684 is

GCF of Numerators i.e. for 5184,1506 is 6

LCM of denominators i.e. for 70,684 is 23940.

Thus, GCF of Fractions is 6/23940.Finally, GCF of Fractions for 5184/70, 1506/684 is 6/23940.