GCD of 10, 450, 133, 267 Calculator

Given Input numbers are 10, 450, 133, 267

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 10, 450, 133, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 450, 133, 267 is 1.

Therefore, GCD of numbers 10, 450, 133, 267 is 1

Given Input Data is 10, 450, 133, 267

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

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 267 is 3 x 89

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(10, 450) = 450

GCD(10, 450) = ( 10 x 450 ) / 450

GCD(10, 450) = 4500 / 450

GCD(10, 450) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 133

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

LCM(10, 133) = 1330

GCD(10, 133) = ( 10 x 133 ) / 1330

GCD(10, 133) = 1330 / 1330

GCD(10, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

GCD of 10, 450, 133, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 946, 995, 630
• GCD of 55, 926, 453, 507
• GCD of 15, 796, 676, 580
• GCD of 64, 730, 296, 200
• GCD of 31, 534, 640, 598

1. What is the GCD of 10, 450, 133, 267?

GCD of 10, 450, 133, 267 is 1

2. Where do I get the detailed procedure to find GCD of 10, 450, 133, 267?

You can find a detailed procedure to find GCD of 10, 450, 133, 267 on our page.

3. How to find GCD of 10, 450, 133, 267 on a calculator?

You can find the GCD of 10, 450, 133, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.