GCD of 528, 900, 66, 361 Calculator

Given Input numbers are 528, 900, 66, 361

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 528, 900, 66, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 900, 66, 361 is 1.

Therefore, GCD of numbers 528, 900, 66, 361 is 1

Given Input Data is 528, 900, 66, 361

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 361 is 19 x 19

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(528, 900) = 39600

GCD(528, 900) = ( 528 x 900 ) / 39600

GCD(528, 900) = 475200 / 39600

GCD(528, 900) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 66

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

LCM(12, 66) = 132

GCD(12, 66) = ( 12 x 66 ) / 132

GCD(12, 66) = 792 / 132

GCD(12, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 361

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

LCM(6, 361) = 2166

GCD(6, 361) = ( 6 x 361 ) / 2166

GCD(6, 361) = 2166 / 2166

GCD(6, 361) = 1

GCD of 528, 900, 66, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 180, 34, 770
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1. What is the GCD of 528, 900, 66, 361?

GCD of 528, 900, 66, 361 is 1

2. Where do I get the detailed procedure to find GCD of 528, 900, 66, 361?

You can find a detailed procedure to find GCD of 528, 900, 66, 361 on our page.

3. How to find GCD of 528, 900, 66, 361 on a calculator?

You can find the GCD of 528, 900, 66, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.