Greatest Common Factor of 320/742, 272/320, 783/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/742, 272/320, 783/662

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 320/742,272/320,783/662

Given fractions are 320/742,272/320,783/662

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 320,272,783

Greatest Common Factor of Numerators i.e. GCF of 320,272,783 is 1 .

LCM of Denominators means LCM of 742,320,662 as per the given fractions.

LCM of 742,320,662 is 39296320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,272,783

GCF of Fractions 320/742,272/320,783/662 is 1/39296320

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

Greatest Common Factor of 320,272,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,272,783 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 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 320,272,783 . The biggest common factor number is the GCF number.
So the greatest common factor 320,272,783 is 1.

Lets's calculate LCM of 742,320,662

2 742, 320, 662
371, 160, 331

∴ So the LCM of the given numbers is 2 x 371 x 160 x 331 = 39296320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39296320

Therefore, the GCF of Fractions 320/742,272/320,783/662 is 1/39296320

Least Common Multiple of 742,320,662 with GCF Formula

Least Common Multiple of 742,320,662 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 742,320,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,320,662) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(742,320,662) x common factors =2 x 2 = 4

LCM(742,320,662) = ( 742 × 320 × 662 ) / 4

LCM(742,320,662) = 157185280 / 4

LCM(742,320,662) = 39296320


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 320/742, 272/320, 783/662

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 320/742, 272/320, 783/662?

Answer: GCF of Numerators as per given numbers 320/742, 272/320, 783/662 is

GCF of Numerators i.e. for 320,272,783 is 1

LCM of denominators i.e. for 742,320,662 is 39296320.

Thus, GCF of Fractions is 1/39296320.Finally, GCF of Fractions for 320/742, 272/320, 783/662 is 1/39296320.