Greatest Common Factor of 898/164, 5068/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/164, 5068/809

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 898/164,5068/809

Given fractions are 898/164,5068/809

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 898,5068

Greatest Common Factor of Numerators i.e. GCF of 898,5068 is 2 .

LCM of Denominators means LCM of 164,809 as per the given fractions.

LCM of 164,809 is 132676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,5068

GCF of Fractions 898/164,5068/809 is 2/132676

2 898, 5068
449, 2534

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

Greatest Common Factor of 898,5068 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,5068 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 5068

List of positive integer factors of 5068 that divides 5068 without a remainder.

1,2,4,7,14,28,181,362,724,1267,2534,5068

Greatest Common Factor

We found the factors 898,5068 . The biggest common factor number is the GCF number.
So the greatest common factor 898,5068 is 2.

Lets's calculate LCM of 164,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 132676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132676

Therefore, the GCF of Fractions 898/164,5068/809 is 2/132676

Least Common Multiple of 164,809 with GCF Formula

Least Common Multiple of 164,809 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 164,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,809) = 1

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

GCF(164,809) x common factors =1 x 1 = 1

LCM(164,809) = ( 164 × 809 ) / 1

LCM(164,809) = 132676 / 1

LCM(164,809) = 132676


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 898/164, 5068/809

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 898/164, 5068/809?

Answer: GCF of Numerators as per given numbers 898/164, 5068/809 is

GCF of Numerators i.e. for 898,5068 is 2

LCM of denominators i.e. for 164,809 is 132676.

Thus, GCF of Fractions is 2/132676.Finally, GCF of Fractions for 898/164, 5068/809 is 2/132676.