GCD of 472, 745, 450, 364 Calculator

Given Input numbers are 472, 745, 450, 364

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 472, 745, 450, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 745, 450, 364 is 1.

Therefore, GCD of numbers 472, 745, 450, 364 is 1

Given Input Data is 472, 745, 450, 364

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 745 is 5 x 149

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(472, 745) = 351640

GCD(472, 745) = ( 472 x 745 ) / 351640

GCD(472, 745) = 351640 / 351640

GCD(472, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 472, 745, 450, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 107, 456, 725
• GCD of 587, 219, 516, 951
• GCD of 382, 859, 404, 351
• GCD of 738, 778, 794, 236
• GCD of 824, 644, 884, 295

1. What is the GCD of 472, 745, 450, 364?

GCD of 472, 745, 450, 364 is 1

2. Where do I get the detailed procedure to find GCD of 472, 745, 450, 364?

You can find a detailed procedure to find GCD of 472, 745, 450, 364 on our page.

3. How to find GCD of 472, 745, 450, 364 on a calculator?

You can find the GCD of 472, 745, 450, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.