GCD of 576, 654, 64, 856 Calculator

Given Input numbers are 576, 654, 64, 856

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 576, 654, 64, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 654, 64, 856 is 2.

Therefore, GCD of numbers 576, 654, 64, 856 is 2

Given Input Data is 576, 654, 64, 856

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 654 is 2 x 3 x 109

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(576, 654) = 62784

GCD(576, 654) = ( 576 x 654 ) / 62784

GCD(576, 654) = 376704 / 62784

GCD(576, 654) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 64

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

LCM(6, 64) = 192

GCD(6, 64) = ( 6 x 64 ) / 192

GCD(6, 64) = 384 / 192

GCD(6, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

GCD of 576, 654, 64, 856 is 2

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1. What is the GCD of 576, 654, 64, 856?

GCD of 576, 654, 64, 856 is 2

2. Where do I get the detailed procedure to find GCD of 576, 654, 64, 856?

You can find a detailed procedure to find GCD of 576, 654, 64, 856 on our page.

3. How to find GCD of 576, 654, 64, 856 on a calculator?

You can find the GCD of 576, 654, 64, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.