GCD of 460, 391, 20, 154 Calculator

Given Input numbers are 460, 391, 20, 154

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 460, 391, 20, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 391, 20, 154 is 1.

Therefore, GCD of numbers 460, 391, 20, 154 is 1

Given Input Data is 460, 391, 20, 154

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 391 is 17 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 154 is 2 x 7 x 11

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, 391) = 7820

GCD(460, 391) = ( 460 x 391 ) / 7820

GCD(460, 391) = 179860 / 7820

GCD(460, 391) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 20

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

LCM(23, 20) = 460

GCD(23, 20) = ( 23 x 20 ) / 460

GCD(23, 20) = 460 / 460

GCD(23, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 460, 391, 20, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 876, 19, 196
• GCD of 400, 268, 87, 445
• GCD of 572, 570, 35, 697
• GCD of 163, 144, 21, 718
• GCD of 594, 790, 18, 433

1. What is the GCD of 460, 391, 20, 154?

GCD of 460, 391, 20, 154 is 1

2. Where do I get the detailed procedure to find GCD of 460, 391, 20, 154?

You can find a detailed procedure to find GCD of 460, 391, 20, 154 on our page.

3. How to find GCD of 460, 391, 20, 154 on a calculator?

You can find the GCD of 460, 391, 20, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.