GCD of 450, 713, 943, 664 Calculator

Given Input numbers are 450, 713, 943, 664

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

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 450, 713, 943, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 713, 943, 664 is 1.

Therefore, GCD of numbers 450, 713, 943, 664 is 1

Given Input Data is 450, 713, 943, 664

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

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 943 is 23 x 41

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(450, 713) = 320850

GCD(450, 713) = ( 450 x 713 ) / 320850

GCD(450, 713) = 320850 / 320850

GCD(450, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 450, 713, 943, 664 is 1

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1. What is the GCD of 450, 713, 943, 664?

GCD of 450, 713, 943, 664 is 1

2. Where do I get the detailed procedure to find GCD of 450, 713, 943, 664?

You can find a detailed procedure to find GCD of 450, 713, 943, 664 on our page.

3. How to find GCD of 450, 713, 943, 664 on a calculator?

You can find the GCD of 450, 713, 943, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.