GCD of 450, 143, 635, 947 Calculator

Given Input numbers are 450, 143, 635, 947

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 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 450, 143, 635, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 143, 635, 947 is 1.

Therefore, GCD of numbers 450, 143, 635, 947 is 1

Given Input Data is 450, 143, 635, 947

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 143 is 11 x 13

Prime Factorization of 635 is 5 x 127

Prime Factorization of 947 is 947

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, 143) = 64350

GCD(450, 143) = ( 450 x 143 ) / 64350

GCD(450, 143) = 64350 / 64350

GCD(450, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 450, 143, 635, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 456, 500, 354
• GCD of 301, 835, 181, 886
• GCD of 727, 451, 393, 124
• GCD of 991, 522, 289, 782
• GCD of 753, 401, 261, 747

1. What is the GCD of 450, 143, 635, 947?

GCD of 450, 143, 635, 947 is 1

2. Where do I get the detailed procedure to find GCD of 450, 143, 635, 947?

You can find a detailed procedure to find GCD of 450, 143, 635, 947 on our page.

3. How to find GCD of 450, 143, 635, 947 on a calculator?

You can find the GCD of 450, 143, 635, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.