GCD of 30, 972, 527, 828 Calculator

Given Input numbers are 30, 972, 527, 828

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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

Greatest Common Divisior

We found the divisors of 30, 972, 527, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 972, 527, 828 is 1.

Therefore, GCD of numbers 30, 972, 527, 828 is 1

Given Input Data is 30, 972, 527, 828

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 527 is 17 x 31

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

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(30, 972) = 4860

GCD(30, 972) = ( 30 x 972 ) / 4860

GCD(30, 972) = 29160 / 4860

GCD(30, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 527

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

LCM(6, 527) = 3162

GCD(6, 527) = ( 6 x 527 ) / 3162

GCD(6, 527) = 3162 / 3162

GCD(6, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 30, 972, 527, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 872, 576, 683
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• GCD of 27, 564, 103, 411
• GCD of 63, 740, 733, 294

1. What is the GCD of 30, 972, 527, 828?

GCD of 30, 972, 527, 828 is 1

2. Where do I get the detailed procedure to find GCD of 30, 972, 527, 828?

You can find a detailed procedure to find GCD of 30, 972, 527, 828 on our page.

3. How to find GCD of 30, 972, 527, 828 on a calculator?

You can find the GCD of 30, 972, 527, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.