Greatest Common Factor of 162/5101, 828/2860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/5101, 828/2860

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 162/5101,828/2860

Given fractions are 162/5101,828/2860

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 162,828

Greatest Common Factor of Numerators i.e. GCF of 162,828 is 18 .

LCM of Denominators means LCM of 5101,2860 as per the given fractions.

LCM of 5101,2860 is 14588860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,828

GCF of Fractions 162/5101,828/2860 is 18/14588860

2 162, 828
3 81, 414
3 27, 138
9, 46

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 162,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,828 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 162,828 . The biggest common factor number is the GCF number.
So the greatest common factor 162,828 is 18.

Lets's calculate LCM of 5101,2860

Given numbers has no common factors except 1. So, there LCM is their product i.e 14588860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/14588860

Therefore, the GCF of Fractions 162/5101,828/2860 is 18/14588860

Least Common Multiple of 5101,2860 with GCF Formula

Least Common Multiple of 5101,2860 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 5101,2860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5101,2860) = 1

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

GCF(5101,2860) x common factors =1 x 1 = 1

LCM(5101,2860) = ( 5101 × 2860 ) / 1

LCM(5101,2860) = 14588860 / 1

LCM(5101,2860) = 14588860


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 162/5101, 828/2860

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 162/5101, 828/2860?

Answer: GCF of Numerators as per given numbers 162/5101, 828/2860 is

GCF of Numerators i.e. for 162,828 is 18

LCM of denominators i.e. for 5101,2860 is 14588860.

Thus, GCF of Fractions is 18/14588860.Finally, GCF of Fractions for 162/5101, 828/2860 is 18/14588860.