Greatest Common Factor of 898/20, 163/64, 721/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 898/20, 163/64, 721/146

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 898/20,163/64,721/146

Given fractions are 898/20,163/64,721/146

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 898,163,721

Greatest Common Factor of Numerators i.e. GCF of 898,163,721 is 1 .

LCM of Denominators means LCM of 20,64,146 as per the given fractions.

LCM of 20,64,146 is 23360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 898,163,721

GCF of Fractions 898/20,163/64,721/146 is 1/23360

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 898,163,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,163,721 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 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 898,163,721 . The biggest common factor number is the GCF number.
So the greatest common factor 898,163,721 is 1.

Lets's calculate LCM of 20,64,146

2 20, 64, 146
2 10, 32, 73
5, 16, 73

∴ So the LCM of the given numbers is 2 x 2 x 5 x 16 x 73 = 23360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23360

Therefore, the GCF of Fractions 898/20,163/64,721/146 is 1/23360

Least Common Multiple of 20,64,146 with GCF Formula

Least Common Multiple of 20,64,146 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 20,64,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,64,146) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(20,64,146) x common factors =2 x 4 = 8

LCM(20,64,146) = ( 20 × 64 × 146 ) / 8

LCM(20,64,146) = 186880 / 8

LCM(20,64,146) = 23360


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 898/20, 163/64, 721/146

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 898/20, 163/64, 721/146?

Answer: GCF of Numerators as per given numbers 898/20, 163/64, 721/146 is

GCF of Numerators i.e. for 898,163,721 is 1

LCM of denominators i.e. for 20,64,146 is 23360.

Thus, GCF of Fractions is 1/23360.Finally, GCF of Fractions for 898/20, 163/64, 721/146 is 1/23360.