GCD of 500, 651, 23, 774 Calculator

Given Input numbers are 500, 651, 23, 774

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 23

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

1, 23

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 500, 651, 23, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 651, 23, 774 is 1.

Therefore, GCD of numbers 500, 651, 23, 774 is 1

Given Input Data is 500, 651, 23, 774

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 23 is 23

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(500, 651) = 325500

GCD(500, 651) = ( 500 x 651 ) / 325500

GCD(500, 651) = 325500 / 325500

GCD(500, 651) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 500, 651, 23, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 202, 44, 713
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• GCD of 480, 338, 57, 387
• GCD of 912, 455, 52, 482
• GCD of 842, 314, 48, 702

1. What is the GCD of 500, 651, 23, 774?

GCD of 500, 651, 23, 774 is 1

2. Where do I get the detailed procedure to find GCD of 500, 651, 23, 774?

You can find a detailed procedure to find GCD of 500, 651, 23, 774 on our page.

3. How to find GCD of 500, 651, 23, 774 on a calculator?

You can find the GCD of 500, 651, 23, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.