GCD of 460, 393, 218, 145 Calculator

Given Input numbers are 460, 393, 218, 145

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 460, 393, 218, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 393, 218, 145 is 1.

Therefore, GCD of numbers 460, 393, 218, 145 is 1

Given Input Data is 460, 393, 218, 145

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 393 is 3 x 131

Prime Factorization of 218 is 2 x 109

Prime Factorization of 145 is 5 x 29

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(460, 393) = 180780

GCD(460, 393) = ( 460 x 393 ) / 180780

GCD(460, 393) = 180780 / 180780

GCD(460, 393) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 460, 393, 218, 145 is 1

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1. What is the GCD of 460, 393, 218, 145?

GCD of 460, 393, 218, 145 is 1

2. Where do I get the detailed procedure to find GCD of 460, 393, 218, 145?

You can find a detailed procedure to find GCD of 460, 393, 218, 145 on our page.

3. How to find GCD of 460, 393, 218, 145 on a calculator?

You can find the GCD of 460, 393, 218, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.