Greatest Common Factor of 578/644, 3603/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/644, 3603/322

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 578/644,3603/322

Given fractions are 578/644,3603/322

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 578,3603

Greatest Common Factor of Numerators i.e. GCF of 578,3603 is 1 .

LCM of Denominators means LCM of 644,322 as per the given fractions.

LCM of 644,322 is 644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,3603

GCF of Fractions 578/644,3603/322 is 1/644

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

Greatest Common Factor of 578,3603 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,3603 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 3603

List of positive integer factors of 3603 that divides 3603 without a remainder.

1,3,1201,3603

Greatest Common Factor

We found the factors 578,3603 . The biggest common factor number is the GCF number.
So the greatest common factor 578,3603 is 1.

Lets's calculate LCM of 644,322

2 644, 322
7 322, 161
23 46, 23
2, 1

∴ So the LCM of the given numbers is 2 x 7 x 23 x 2 x 1 = 644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/644

Therefore, the GCF of Fractions 578/644,3603/322 is 1/644

Least Common Multiple of 644,322 with GCF Formula

Least Common Multiple of 644,322 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 644,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,322) = 322

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

GCF(644,322) x common factors =322 x 1 = 322

LCM(644,322) = ( 644 × 322 ) / 322

LCM(644,322) = 207368 / 322

LCM(644,322) = 644


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 578/644, 3603/322

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 578/644, 3603/322?

Answer: GCF of Numerators as per given numbers 578/644, 3603/322 is

GCF of Numerators i.e. for 578,3603 is 1

LCM of denominators i.e. for 644,322 is 644.

Thus, GCF of Fractions is 1/644.Finally, GCF of Fractions for 578/644, 3603/322 is 1/644.