GCD of 23, 784, 511, 157 Calculator

Given Input numbers are 23, 784, 511, 157

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 23, 784, 511, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 784, 511, 157 is 1.

Therefore, GCD of numbers 23, 784, 511, 157 is 1

Given Input Data is 23, 784, 511, 157

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

Prime Factorization of 23 is 23

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 511 is 7 x 73

Prime Factorization of 157 is 157

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(23, 784) = 18032

GCD(23, 784) = ( 23 x 784 ) / 18032

GCD(23, 784) = 18032 / 18032

GCD(23, 784) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 23, 784, 511, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 412, 547, 462
• GCD of 52, 342, 370, 227
• GCD of 99, 905, 689, 981
• GCD of 41, 217, 312, 561
• GCD of 86, 467, 109, 416

1. What is the GCD of 23, 784, 511, 157?

GCD of 23, 784, 511, 157 is 1

2. Where do I get the detailed procedure to find GCD of 23, 784, 511, 157?

You can find a detailed procedure to find GCD of 23, 784, 511, 157 on our page.

3. How to find GCD of 23, 784, 511, 157 on a calculator?

You can find the GCD of 23, 784, 511, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.