GCD of 450, 864, 163, 702 Calculator

Given Input numbers are 450, 864, 163, 702

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 450, 864, 163, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 864, 163, 702 is 1.

Therefore, GCD of numbers 450, 864, 163, 702 is 1

Given Input Data is 450, 864, 163, 702

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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 163 is 163

Prime Factorization of 702 is 2 x 3 x 3 x 3 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, 864) = 21600

GCD(450, 864) = ( 450 x 864 ) / 21600

GCD(450, 864) = 388800 / 21600

GCD(450, 864) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 163

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

LCM(18, 163) = 2934

GCD(18, 163) = ( 18 x 163 ) / 2934

GCD(18, 163) = 2934 / 2934

GCD(18, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 450, 864, 163, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 920, 602, 791
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• GCD of 595, 456, 725, 702

1. What is the GCD of 450, 864, 163, 702?

GCD of 450, 864, 163, 702 is 1

2. Where do I get the detailed procedure to find GCD of 450, 864, 163, 702?

You can find a detailed procedure to find GCD of 450, 864, 163, 702 on our page.

3. How to find GCD of 450, 864, 163, 702 on a calculator?

You can find the GCD of 450, 864, 163, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.