GCD of 450, 155, 313, 467 Calculator

Given Input numbers are 450, 155, 313, 467

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 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 450, 155, 313, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 155, 313, 467 is 1.

Therefore, GCD of numbers 450, 155, 313, 467 is 1

Given Input Data is 450, 155, 313, 467

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 155 is 5 x 31

Prime Factorization of 313 is 313

Prime Factorization of 467 is 467

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, 155) = 13950

GCD(450, 155) = ( 450 x 155 ) / 13950

GCD(450, 155) = 69750 / 13950

GCD(450, 155) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 313

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

LCM(5, 313) = 1565

GCD(5, 313) = ( 5 x 313 ) / 1565

GCD(5, 313) = 1565 / 1565

GCD(5, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 450, 155, 313, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 597, 221, 715
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• GCD of 626, 238, 474, 837

1. What is the GCD of 450, 155, 313, 467?

GCD of 450, 155, 313, 467 is 1

2. Where do I get the detailed procedure to find GCD of 450, 155, 313, 467?

You can find a detailed procedure to find GCD of 450, 155, 313, 467 on our page.

3. How to find GCD of 450, 155, 313, 467 on a calculator?

You can find the GCD of 450, 155, 313, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.