GCD of 466, 564, 85, 357 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 466, 564, 85, 357 i.e. 1 largest integer that divides all the numbers equally.

GCD of 466, 564, 85, 357 is 1

GCD(466, 564, 85, 357) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 466, 564, 85, 357 is 1

GCD(466, 564, 85, 357) = 1

GCD of 466,564,85,357 Calculator

GCDof 466,564,85,357 is 1

Given Input numbers are 466, 564, 85, 357

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 466, 564, 85, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 564, 85, 357 is 1.

Therefore, GCD of numbers 466, 564, 85, 357 is 1

Finding GCD of 466, 564, 85, 357 using Prime Factorization

Given Input Data is 466, 564, 85, 357

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 466 is 2 x 233

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 85 is 5 x 17

Prime Factorization of 357 is 3 x 7 x 17

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 466, 564, 85, 357 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(466, 564) = 131412

GCD(466, 564) = ( 466 x 564 ) / 131412

GCD(466, 564) = 262824 / 131412

GCD(466, 564) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 466, 564, 85, 357 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 466, 564, 85, 357

1. What is the GCD of 466, 564, 85, 357?

GCD of 466, 564, 85, 357 is 1


2. Where do I get the detailed procedure to find GCD of 466, 564, 85, 357?

You can find a detailed procedure to find GCD of 466, 564, 85, 357 on our page.


3. How to find GCD of 466, 564, 85, 357 on a calculator?

You can find the GCD of 466, 564, 85, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.