Greatest Common Factor of 3084/32, 5740/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3084/32, 5740/850

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 3084/32,5740/850

Given fractions are 3084/32,5740/850

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 3084,5740

Greatest Common Factor of Numerators i.e. GCF of 3084,5740 is 4 .

LCM of Denominators means LCM of 32,850 as per the given fractions.

LCM of 32,850 is 13600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3084,5740

GCF of Fractions 3084/32,5740/850 is 4/13600

2 3084, 5740
2 1542, 2870
771, 1435

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

Greatest Common Factor of 3084,5740 By Matching Biggest Common Factor Method

Greatest Common Factor of 3084,5740 By Matching Biggest Common Factor Method

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740

Greatest Common Factor

We found the factors 3084,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 3084,5740 is 4.

Lets's calculate LCM of 32,850

2 32, 850
16, 425

∴ So the LCM of the given numbers is 2 x 16 x 425 = 13600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13600

Therefore, the GCF of Fractions 3084/32,5740/850 is 4/13600

Least Common Multiple of 32,850 with GCF Formula

Least Common Multiple of 32,850 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 32,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,850) = 2

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

GCF(32,850) x common factors =2 x 1 = 2

LCM(32,850) = ( 32 × 850 ) / 2

LCM(32,850) = 27200 / 2

LCM(32,850) = 13600


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 3084/32, 5740/850

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 3084/32, 5740/850?

Answer: GCF of Numerators as per given numbers 3084/32, 5740/850 is

GCF of Numerators i.e. for 3084,5740 is 4

LCM of denominators i.e. for 32,850 is 13600.

Thus, GCF of Fractions is 4/13600.Finally, GCF of Fractions for 3084/32, 5740/850 is 4/13600.