GCD of 828, 564, 59, 466 Calculator

Given Input numbers are 828, 564, 59, 466

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 466

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

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 828, 564, 59, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 564, 59, 466 is 1.

Therefore, GCD of numbers 828, 564, 59, 466 is 1

Given Input Data is 828, 564, 59, 466

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

Prime Factorization of 59 is 59

Prime Factorization of 466 is 2 x 233

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

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(828, 564) = 38916

GCD(828, 564) = ( 828 x 564 ) / 38916

GCD(828, 564) = 466992 / 38916

GCD(828, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 59

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

LCM(12, 59) = 708

GCD(12, 59) = ( 12 x 59 ) / 708

GCD(12, 59) = 708 / 708

GCD(12, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 828, 564, 59, 466 is 1

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1. What is the GCD of 828, 564, 59, 466?

GCD of 828, 564, 59, 466 is 1

2. Where do I get the detailed procedure to find GCD of 828, 564, 59, 466?

You can find a detailed procedure to find GCD of 828, 564, 59, 466 on our page.

3. How to find GCD of 828, 564, 59, 466 on a calculator?

You can find the GCD of 828, 564, 59, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.