GCD of 450, 685, 21, 650 Calculator

Given Input numbers are 450, 685, 21, 650

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 450, 685, 21, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 685, 21, 650 is 1.

Therefore, GCD of numbers 450, 685, 21, 650 is 1

Given Input Data is 450, 685, 21, 650

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 685 is 5 x 137

Prime Factorization of 21 is 3 x 7

Prime Factorization of 650 is 2 x 5 x 5 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(450, 685) = 61650

GCD(450, 685) = ( 450 x 685 ) / 61650

GCD(450, 685) = 308250 / 61650

GCD(450, 685) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 21

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

LCM(5, 21) = 105

GCD(5, 21) = ( 5 x 21 ) / 105

GCD(5, 21) = 105 / 105

GCD(5, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 450, 685, 21, 650 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 585, 97, 110
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• GCD of 800, 327, 67, 976

1. What is the GCD of 450, 685, 21, 650?

GCD of 450, 685, 21, 650 is 1

2. Where do I get the detailed procedure to find GCD of 450, 685, 21, 650?

You can find a detailed procedure to find GCD of 450, 685, 21, 650 on our page.

3. How to find GCD of 450, 685, 21, 650 on a calculator?

You can find the GCD of 450, 685, 21, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.