Greatest Common Factor of 1255/664, 9449/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1255/664, 9449/730

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 1255/664,9449/730

Given fractions are 1255/664,9449/730

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 1255,9449

Greatest Common Factor of Numerators i.e. GCF of 1255,9449 is 1 .

LCM of Denominators means LCM of 664,730 as per the given fractions.

LCM of 664,730 is 242360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1255,9449

GCF of Fractions 1255/664,9449/730 is 1/242360

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

Greatest Common Factor of 1255,9449 By Matching Biggest Common Factor Method

Greatest Common Factor of 1255,9449 By Matching Biggest Common Factor Method

Factors of 1255

List of positive integer factors of 1255 that divides 1255 without a remainder.

1,5,251,1255

Factors of 9449

List of positive integer factors of 9449 that divides 9449 without a remainder.

1,11,859,9449

Greatest Common Factor

We found the factors 1255,9449 . The biggest common factor number is the GCF number.
So the greatest common factor 1255,9449 is 1.

Lets's calculate LCM of 664,730

2 664, 730
332, 365

∴ So the LCM of the given numbers is 2 x 332 x 365 = 242360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242360

Therefore, the GCF of Fractions 1255/664,9449/730 is 1/242360

Least Common Multiple of 664,730 with GCF Formula

Least Common Multiple of 664,730 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 664,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,730) = 2

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

GCF(664,730) x common factors =2 x 1 = 2

LCM(664,730) = ( 664 × 730 ) / 2

LCM(664,730) = 484720 / 2

LCM(664,730) = 242360


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 1255/664, 9449/730

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 1255/664, 9449/730?

Answer: GCF of Numerators as per given numbers 1255/664, 9449/730 is

GCF of Numerators i.e. for 1255,9449 is 1

LCM of denominators i.e. for 664,730 is 242360.

Thus, GCF of Fractions is 1/242360.Finally, GCF of Fractions for 1255/664, 9449/730 is 1/242360.