Greatest Common Factor of 320/938, 657/445, 576/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/938, 657/445, 576/223

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 320/938,657/445,576/223

Given fractions are 320/938,657/445,576/223

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 320,657,576

Greatest Common Factor of Numerators i.e. GCF of 320,657,576 is 1 .

LCM of Denominators means LCM of 938,445,223 as per the given fractions.

LCM of 938,445,223 is 93082430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,657,576

GCF of Fractions 320/938,657/445,576/223 is 1/93082430

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

Greatest Common Factor of 320,657,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,657,576 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 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 320,657,576 . The biggest common factor number is the GCF number.
So the greatest common factor 320,657,576 is 1.

Lets's calculate LCM of 938,445,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 93082430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93082430

Therefore, the GCF of Fractions 320/938,657/445,576/223 is 1/93082430

Least Common Multiple of 938,445,223 with GCF Formula

Least Common Multiple of 938,445,223 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 938,445,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,445,223) = 1

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

GCF(938,445,223) x common factors =1 x 1 = 1

LCM(938,445,223) = ( 938 × 445 × 223 ) / 1

LCM(938,445,223) = 93082430 / 1

LCM(938,445,223) = 93082430


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 320/938, 657/445, 576/223

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 320/938, 657/445, 576/223?

Answer: GCF of Numerators as per given numbers 320/938, 657/445, 576/223 is

GCF of Numerators i.e. for 320,657,576 is 1

LCM of denominators i.e. for 938,445,223 is 93082430.

Thus, GCF of Fractions is 1/93082430.Finally, GCF of Fractions for 320/938, 657/445, 576/223 is 1/93082430.