GCD of 90, 824, 450, 533 Calculator

Given Input numbers are 90, 824, 450, 533

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 90, 824, 450, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 824, 450, 533 is 1.

Therefore, GCD of numbers 90, 824, 450, 533 is 1

Given Input Data is 90, 824, 450, 533

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 533 is 13 x 41

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(90, 824) = 37080

GCD(90, 824) = ( 90 x 824 ) / 37080

GCD(90, 824) = 74160 / 37080

GCD(90, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 90, 824, 450, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 630, 181, 517
• GCD of 18, 987, 436, 876
• GCD of 67, 560, 628, 952
• GCD of 39, 470, 897, 593
• GCD of 53, 934, 348, 737

1. What is the GCD of 90, 824, 450, 533?

GCD of 90, 824, 450, 533 is 1

2. Where do I get the detailed procedure to find GCD of 90, 824, 450, 533?

You can find a detailed procedure to find GCD of 90, 824, 450, 533 on our page.

3. How to find GCD of 90, 824, 450, 533 on a calculator?

You can find the GCD of 90, 824, 450, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.