GCD of 906, 579, 64, 772 Calculator

Given Input numbers are 906, 579, 64, 772

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 906, 579, 64, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 579, 64, 772 is 1.

Therefore, GCD of numbers 906, 579, 64, 772 is 1

Given Input Data is 906, 579, 64, 772

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 579 is 3 x 193

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 772 is 2 x 2 x 193

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(906, 579) = 174858

GCD(906, 579) = ( 906 x 579 ) / 174858

GCD(906, 579) = 524574 / 174858

GCD(906, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 906, 579, 64, 772 is 1

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1. What is the GCD of 906, 579, 64, 772?

GCD of 906, 579, 64, 772 is 1

2. Where do I get the detailed procedure to find GCD of 906, 579, 64, 772?

You can find a detailed procedure to find GCD of 906, 579, 64, 772 on our page.

3. How to find GCD of 906, 579, 64, 772 on a calculator?

You can find the GCD of 906, 579, 64, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.