GCD of 204, 526, 960, 788 Calculator

Given Input numbers are 204, 526, 960, 788

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 204, 526, 960, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 526, 960, 788 is 2.

Therefore, GCD of numbers 204, 526, 960, 788 is 2

Given Input Data is 204, 526, 960, 788

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 526 is 2 x 263

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 788 is 2 x 2 x 197

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(204, 526) = 53652

GCD(204, 526) = ( 204 x 526 ) / 53652

GCD(204, 526) = 107304 / 53652

GCD(204, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 204, 526, 960, 788 is 2

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• GCD of 501, 741, 978, 947
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• GCD of 394, 168, 471, 980

1. What is the GCD of 204, 526, 960, 788?

GCD of 204, 526, 960, 788 is 2

2. Where do I get the detailed procedure to find GCD of 204, 526, 960, 788?

You can find a detailed procedure to find GCD of 204, 526, 960, 788 on our page.

3. How to find GCD of 204, 526, 960, 788 on a calculator?

You can find the GCD of 204, 526, 960, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.