Greatest Common Factor of 1323/300, 4435/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1323/300, 4435/474

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 1323/300,4435/474

Given fractions are 1323/300,4435/474

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 1323,4435

Greatest Common Factor of Numerators i.e. GCF of 1323,4435 is 1 .

LCM of Denominators means LCM of 300,474 as per the given fractions.

LCM of 300,474 is 23700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1323,4435

GCF of Fractions 1323/300,4435/474 is 1/23700

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

Greatest Common Factor of 1323,4435 By Matching Biggest Common Factor Method

Greatest Common Factor of 1323,4435 By Matching Biggest Common Factor Method

Factors of 1323

List of positive integer factors of 1323 that divides 1323 without a remainder.

1,3,7,9,21,27,49,63,147,189,441,1323

Factors of 4435

List of positive integer factors of 4435 that divides 4435 without a remainder.

1,5,887,4435

Greatest Common Factor

We found the factors 1323,4435 . The biggest common factor number is the GCF number.
So the greatest common factor 1323,4435 is 1.

Lets's calculate LCM of 300,474

2 300, 474
3 150, 237
50, 79

∴ So the LCM of the given numbers is 2 x 3 x 50 x 79 = 23700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23700

Therefore, the GCF of Fractions 1323/300,4435/474 is 1/23700

Least Common Multiple of 300,474 with GCF Formula

Least Common Multiple of 300,474 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 300,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,474) = 6

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

GCF(300,474) x common factors =6 x 1 = 6

LCM(300,474) = ( 300 × 474 ) / 6

LCM(300,474) = 142200 / 6

LCM(300,474) = 23700


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 1323/300, 4435/474

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 1323/300, 4435/474?

Answer: GCF of Numerators as per given numbers 1323/300, 4435/474 is

GCF of Numerators i.e. for 1323,4435 is 1

LCM of denominators i.e. for 300,474 is 23700.

Thus, GCF of Fractions is 1/23700.Finally, GCF of Fractions for 1323/300, 4435/474 is 1/23700.