Greatest Common Factor of 320/85, 100/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/85, 100/238

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 320/85,100/238

Given fractions are 320/85,100/238

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 320,100

Greatest Common Factor of Numerators i.e. GCF of 320,100 is 20 .

LCM of Denominators means LCM of 85,238 as per the given fractions.

LCM of 85,238 is 1190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,100

GCF of Fractions 320/85,100/238 is 20/1190

2 320, 100
2 160, 50
5 80, 25
16, 5

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 320,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,100 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 320,100 . The biggest common factor number is the GCF number.
So the greatest common factor 320,100 is 20.

Lets's calculate LCM of 85,238

17 85, 238
5, 14

∴ So the LCM of the given numbers is 17 x 5 x 14 = 1190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1190

Therefore, the GCF of Fractions 320/85,100/238 is 20/1190

Least Common Multiple of 85,238 with GCF Formula

Least Common Multiple of 85,238 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 85,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,238) = 17

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

GCF(85,238) x common factors =17 x 1 = 17

LCM(85,238) = ( 85 × 238 ) / 17

LCM(85,238) = 20230 / 17

LCM(85,238) = 1190


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 320/85, 100/238

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 320/85, 100/238?

Answer: GCF of Numerators as per given numbers 320/85, 100/238 is

GCF of Numerators i.e. for 320,100 is 20

LCM of denominators i.e. for 85,238 is 1190.

Thus, GCF of Fractions is 20/1190.Finally, GCF of Fractions for 320/85, 100/238 is 20/1190.