Greatest Common Factor of 5124/162, 3604/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5124/162, 3604/868

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 5124/162,3604/868

Given fractions are 5124/162,3604/868

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 5124,3604

Greatest Common Factor of Numerators i.e. GCF of 5124,3604 is 4 .

LCM of Denominators means LCM of 162,868 as per the given fractions.

LCM of 162,868 is 70308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5124,3604

GCF of Fractions 5124/162,3604/868 is 4/70308

2 5124, 3604
2 2562, 1802
1281, 901

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

Greatest Common Factor of 5124,3604 By Matching Biggest Common Factor Method

Greatest Common Factor of 5124,3604 By Matching Biggest Common Factor Method

Factors of 5124

List of positive integer factors of 5124 that divides 5124 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1,2,4,17,34,53,68,106,212,901,1802,3604

Greatest Common Factor

We found the factors 5124,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,3604 is 4.

Lets's calculate LCM of 162,868

2 162, 868
81, 434

∴ So the LCM of the given numbers is 2 x 81 x 434 = 70308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/70308

Therefore, the GCF of Fractions 5124/162,3604/868 is 4/70308

Least Common Multiple of 162,868 with GCF Formula

Least Common Multiple of 162,868 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 162,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,868) = 2

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

GCF(162,868) x common factors =2 x 1 = 2

LCM(162,868) = ( 162 × 868 ) / 2

LCM(162,868) = 140616 / 2

LCM(162,868) = 70308


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 5124/162, 3604/868

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 5124/162, 3604/868?

Answer: GCF of Numerators as per given numbers 5124/162, 3604/868 is

GCF of Numerators i.e. for 5124,3604 is 4

LCM of denominators i.e. for 162,868 is 70308.

Thus, GCF of Fractions is 4/70308.Finally, GCF of Fractions for 5124/162, 3604/868 is 4/70308.