Greatest Common Factor of 727/320, 642/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 727/320, 642/244

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 727/320,642/244

Given fractions are 727/320,642/244

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 727,642

Greatest Common Factor of Numerators i.e. GCF of 727,642 is 1 .

LCM of Denominators means LCM of 320,244 as per the given fractions.

LCM of 320,244 is 19520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 727,642

GCF of Fractions 727/320,642/244 is 1/19520

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

Greatest Common Factor of 727,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,642 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 727,642 . The biggest common factor number is the GCF number.
So the greatest common factor 727,642 is 1.

Lets's calculate LCM of 320,244

2 320, 244
2 160, 122
80, 61

∴ So the LCM of the given numbers is 2 x 2 x 80 x 61 = 19520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19520

Therefore, the GCF of Fractions 727/320,642/244 is 1/19520

Least Common Multiple of 320,244 with GCF Formula

Least Common Multiple of 320,244 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 320,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,244) = 4

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

GCF(320,244) x common factors =4 x 1 = 4

LCM(320,244) = ( 320 × 244 ) / 4

LCM(320,244) = 78080 / 4

LCM(320,244) = 19520


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 727/320, 642/244

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 727/320, 642/244?

Answer: GCF of Numerators as per given numbers 727/320, 642/244 is

GCF of Numerators i.e. for 727,642 is 1

LCM of denominators i.e. for 320,244 is 19520.

Thus, GCF of Fractions is 1/19520.Finally, GCF of Fractions for 727/320, 642/244 is 1/19520.