GCD of 123, 823, 36, 775 Calculator

Given Input numbers are 123, 823, 36, 775

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 123, 823, 36, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 823, 36, 775 is 1.

Therefore, GCD of numbers 123, 823, 36, 775 is 1

Given Input Data is 123, 823, 36, 775

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 823 is 823

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 775 is 5 x 5 x 31

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(123, 823) = 101229

GCD(123, 823) = ( 123 x 823 ) / 101229

GCD(123, 823) = 101229 / 101229

GCD(123, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 123, 823, 36, 775 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 755, 83, 664
• GCD of 179, 127, 42, 642
• GCD of 353, 618, 95, 583
• GCD of 428, 311, 83, 771
• GCD of 502, 256, 52, 487

1. What is the GCD of 123, 823, 36, 775?

GCD of 123, 823, 36, 775 is 1

2. Where do I get the detailed procedure to find GCD of 123, 823, 36, 775?

You can find a detailed procedure to find GCD of 123, 823, 36, 775 on our page.

3. How to find GCD of 123, 823, 36, 775 on a calculator?

You can find the GCD of 123, 823, 36, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.