Greatest Common Factor of 528/414, 465/283, 393/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 528/414, 465/283, 393/447

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 528/414,465/283,393/447

Given fractions are 528/414,465/283,393/447

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 528,465,393

Greatest Common Factor of Numerators i.e. GCF of 528,465,393 is 3 .

LCM of Denominators means LCM of 414,283,447 as per the given fractions.

LCM of 414,283,447 is 17457138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 528,465,393

GCF of Fractions 528/414,465/283,393/447 is 3/17457138

3 528, 465, 393
176, 155, 131

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 528,465,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,465,393 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 528,465,393 . The biggest common factor number is the GCF number.
So the greatest common factor 528,465,393 is 3.

Lets's calculate LCM of 414,283,447

3 414, 283, 447
138, 283, 149

∴ So the LCM of the given numbers is 3 x 138 x 283 x 149 = 17457138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17457138

Therefore, the GCF of Fractions 528/414,465/283,393/447 is 3/17457138

Least Common Multiple of 414,283,447 with GCF Formula

Least Common Multiple of 414,283,447 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 414,283,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,283,447) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(414,283,447) x common factors =1 x 3 = 3

LCM(414,283,447) = ( 414 × 283 × 447 ) / 3

LCM(414,283,447) = 52371414 / 3

LCM(414,283,447) = 17457138


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 528/414, 465/283, 393/447

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 528/414, 465/283, 393/447?

Answer: GCF of Numerators as per given numbers 528/414, 465/283, 393/447 is

GCF of Numerators i.e. for 528,465,393 is 3

LCM of denominators i.e. for 414,283,447 is 17457138.

Thus, GCF of Fractions is 3/17457138.Finally, GCF of Fractions for 528/414, 465/283, 393/447 is 3/17457138.