Greatest Common Factor of 449/653, 3143/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 449/653, 3143/223

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 449/653,3143/223

Given fractions are 449/653,3143/223

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 449,3143

Greatest Common Factor of Numerators i.e. GCF of 449,3143 is 449 .

LCM of Denominators means LCM of 653,223 as per the given fractions.

LCM of 653,223 is 145619 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 449,3143

GCF of Fractions 449/653,3143/223 is 449/145619

449 449, 3143
1, 7

∴ So the GCF of the given numbers is 449 = 449

Greatest Common Factor of 449,3143 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,3143 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 3143

List of positive integer factors of 3143 that divides 3143 without a remainder.

1,7,449,3143

Greatest Common Factor

We found the factors 449,3143 . The biggest common factor number is the GCF number.
So the greatest common factor 449,3143 is 449.

Lets's calculate LCM of 653,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 145619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 449/145619

Therefore, the GCF of Fractions 449/653,3143/223 is 449/145619

Least Common Multiple of 653,223 with GCF Formula

Least Common Multiple of 653,223 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 653,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,223) = 1

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

GCF(653,223) x common factors =1 x 1 = 1

LCM(653,223) = ( 653 × 223 ) / 1

LCM(653,223) = 145619 / 1

LCM(653,223) = 145619


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 449/653, 3143/223

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 449/653, 3143/223?

Answer: GCF of Numerators as per given numbers 449/653, 3143/223 is

GCF of Numerators i.e. for 449,3143 is 449

LCM of denominators i.e. for 653,223 is 145619.

Thus, GCF of Fractions is 449/145619.Finally, GCF of Fractions for 449/653, 3143/223 is 449/145619.