GCD of 828, 592, 76, 201 Calculator

Given Input numbers are 828, 592, 76, 201

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 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 828, 592, 76, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 592, 76, 201 is 1.

Therefore, GCD of numbers 828, 592, 76, 201 is 1

Given Input Data is 828, 592, 76, 201

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 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 201 is 3 x 67

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, 592) = 122544

GCD(828, 592) = ( 828 x 592 ) / 122544

GCD(828, 592) = 490176 / 122544

GCD(828, 592) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 76

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

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

GCD(4, 76) = 304 / 76

GCD(4, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 201

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

LCM(4, 201) = 804

GCD(4, 201) = ( 4 x 201 ) / 804

GCD(4, 201) = 804 / 804

GCD(4, 201) = 1

GCD of 828, 592, 76, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 239, 52, 623
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• GCD of 406, 451, 63, 119
• GCD of 262, 721, 22, 937
• GCD of 444, 315, 75, 825

1. What is the GCD of 828, 592, 76, 201?

GCD of 828, 592, 76, 201 is 1

2. Where do I get the detailed procedure to find GCD of 828, 592, 76, 201?

You can find a detailed procedure to find GCD of 828, 592, 76, 201 on our page.

3. How to find GCD of 828, 592, 76, 201 on a calculator?

You can find the GCD of 828, 592, 76, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.