GCD of 453, 217, 729, 400 Calculator

Given Input numbers are 453, 217, 729, 400

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 453, 217, 729, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 217, 729, 400 is 1.

Therefore, GCD of numbers 453, 217, 729, 400 is 1

Given Input Data is 453, 217, 729, 400

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 217 is 7 x 31

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(453, 217) = 98301

GCD(453, 217) = ( 453 x 217 ) / 98301

GCD(453, 217) = 98301 / 98301

GCD(453, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 453, 217, 729, 400 is 1

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• GCD of 675, 600, 974, 774
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• GCD of 275, 468, 615, 629

1. What is the GCD of 453, 217, 729, 400?

GCD of 453, 217, 729, 400 is 1

2. Where do I get the detailed procedure to find GCD of 453, 217, 729, 400?

You can find a detailed procedure to find GCD of 453, 217, 729, 400 on our page.

3. How to find GCD of 453, 217, 729, 400 on a calculator?

You can find the GCD of 453, 217, 729, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.