Greatest Common Factor of 3162/506, 5724/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3162/506, 5724/106

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 3162/506,5724/106

Given fractions are 3162/506,5724/106

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 3162,5724

Greatest Common Factor of Numerators i.e. GCF of 3162,5724 is 6 .

LCM of Denominators means LCM of 506,106 as per the given fractions.

LCM of 506,106 is 26818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3162,5724

GCF of Fractions 3162/506,5724/106 is 6/26818

2 3162, 5724
3 1581, 2862
527, 954

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

Greatest Common Factor of 3162,5724 By Matching Biggest Common Factor Method

Greatest Common Factor of 3162,5724 By Matching Biggest Common Factor Method

Factors of 3162

List of positive integer factors of 3162 that divides 3162 without a remainder.

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 3162,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 3162,5724 is 6.

Lets's calculate LCM of 506,106

2 506, 106
253, 53

∴ So the LCM of the given numbers is 2 x 253 x 53 = 26818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/26818

Therefore, the GCF of Fractions 3162/506,5724/106 is 6/26818

Least Common Multiple of 506,106 with GCF Formula

Least Common Multiple of 506,106 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 506,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,106) = 2

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

GCF(506,106) x common factors =2 x 1 = 2

LCM(506,106) = ( 506 × 106 ) / 2

LCM(506,106) = 53636 / 2

LCM(506,106) = 26818


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 3162/506, 5724/106

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 3162/506, 5724/106?

Answer: GCF of Numerators as per given numbers 3162/506, 5724/106 is

GCF of Numerators i.e. for 3162,5724 is 6

LCM of denominators i.e. for 506,106 is 26818.

Thus, GCF of Fractions is 6/26818.Finally, GCF of Fractions for 3162/506, 5724/106 is 6/26818.