Greatest Common Factor of 449/221, 538/728, 407/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 449/221, 538/728, 407/926

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 449/221,538/728,407/926

Given fractions are 449/221,538/728,407/926

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 449,538,407

Greatest Common Factor of Numerators i.e. GCF of 449,538,407 is 1 .

LCM of Denominators means LCM of 221,728,926 as per the given fractions.

LCM of 221,728,926 is 5730088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 449,538,407

GCF of Fractions 449/221,538/728,407/926 is 1/5730088

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

Greatest Common Factor of 449,538,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,538,407 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 449,538,407 . The biggest common factor number is the GCF number.
So the greatest common factor 449,538,407 is 1.

Lets's calculate LCM of 221,728,926

2 221, 728, 926
13 221, 364, 463
17, 28, 463

∴ So the LCM of the given numbers is 2 x 13 x 17 x 28 x 463 = 5730088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5730088

Therefore, the GCF of Fractions 449/221,538/728,407/926 is 1/5730088

Least Common Multiple of 221,728,926 with GCF Formula

Least Common Multiple of 221,728,926 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 221,728,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,728,926) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(221,728,926) x common factors =1 x 26 = 26

LCM(221,728,926) = ( 221 × 728 × 926 ) / 26

LCM(221,728,926) = 148982288 / 26

LCM(221,728,926) = 5730088


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 449/221, 538/728, 407/926

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 449/221, 538/728, 407/926?

Answer: GCF of Numerators as per given numbers 449/221, 538/728, 407/926 is

GCF of Numerators i.e. for 449,538,407 is 1

LCM of denominators i.e. for 221,728,926 is 5730088.

Thus, GCF of Fractions is 1/5730088.Finally, GCF of Fractions for 449/221, 538/728, 407/926 is 1/5730088.