GCD of 450, 205, 96, 756 Calculator

Given Input numbers are 450, 205, 96, 756

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 450, 205, 96, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 205, 96, 756 is 1.

Therefore, GCD of numbers 450, 205, 96, 756 is 1

Given Input Data is 450, 205, 96, 756

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 205 is 5 x 41

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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, 205) = 18450

GCD(450, 205) = ( 450 x 205 ) / 18450

GCD(450, 205) = 92250 / 18450

GCD(450, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 96

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

LCM(5, 96) = 480

GCD(5, 96) = ( 5 x 96 ) / 480

GCD(5, 96) = 480 / 480

GCD(5, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 450, 205, 96, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 953, 13, 642
• GCD of 294, 657, 19, 134
• GCD of 645, 939, 73, 386
• GCD of 355, 701, 51, 372
• GCD of 706, 461, 64, 882

1. What is the GCD of 450, 205, 96, 756?

GCD of 450, 205, 96, 756 is 1

2. Where do I get the detailed procedure to find GCD of 450, 205, 96, 756?

You can find a detailed procedure to find GCD of 450, 205, 96, 756 on our page.

3. How to find GCD of 450, 205, 96, 756 on a calculator?

You can find the GCD of 450, 205, 96, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.