Greatest Common Factor of 170/238, 323/140, 809/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/238, 323/140, 809/256

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 170/238,323/140,809/256

Given fractions are 170/238,323/140,809/256

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 170,323,809

Greatest Common Factor of Numerators i.e. GCF of 170,323,809 is 1 .

LCM of Denominators means LCM of 238,140,256 as per the given fractions.

LCM of 238,140,256 is 152320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,323,809

GCF of Fractions 170/238,323/140,809/256 is 1/152320

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

Greatest Common Factor of 170,323,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,323,809 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 170,323,809 . The biggest common factor number is the GCF number.
So the greatest common factor 170,323,809 is 1.

Lets's calculate LCM of 238,140,256

2 238, 140, 256
2 119, 70, 128
7 119, 35, 64
17, 5, 64

∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 5 x 64 = 152320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152320

Therefore, the GCF of Fractions 170/238,323/140,809/256 is 1/152320

Least Common Multiple of 238,140,256 with GCF Formula

Least Common Multiple of 238,140,256 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 238,140,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,140,256) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(238,140,256) x common factors =2 x 28 = 56

LCM(238,140,256) = ( 238 × 140 × 256 ) / 56

LCM(238,140,256) = 8529920 / 56

LCM(238,140,256) = 152320


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 170/238, 323/140, 809/256

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 170/238, 323/140, 809/256?

Answer: GCF of Numerators as per given numbers 170/238, 323/140, 809/256 is

GCF of Numerators i.e. for 170,323,809 is 1

LCM of denominators i.e. for 238,140,256 is 152320.

Thus, GCF of Fractions is 1/152320.Finally, GCF of Fractions for 170/238, 323/140, 809/256 is 1/152320.