GCD of 923, 821, 74, 623 Calculator

Given Input numbers are 923, 821, 74, 623

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 923, 821, 74, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 821, 74, 623 is 1.

Therefore, GCD of numbers 923, 821, 74, 623 is 1

Given Input Data is 923, 821, 74, 623

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 821 is 821

Prime Factorization of 74 is 2 x 37

Prime Factorization of 623 is 7 x 89

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(923, 821) = 757783

GCD(923, 821) = ( 923 x 821 ) / 757783

GCD(923, 821) = 757783 / 757783

GCD(923, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 923, 821, 74, 623 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 128, 10, 488
• GCD of 619, 510, 28, 781
• GCD of 976, 867, 11, 691
• GCD of 217, 912, 47, 755
• GCD of 461, 475, 15, 620

1. What is the GCD of 923, 821, 74, 623?

GCD of 923, 821, 74, 623 is 1

2. Where do I get the detailed procedure to find GCD of 923, 821, 74, 623?

You can find a detailed procedure to find GCD of 923, 821, 74, 623 on our page.

3. How to find GCD of 923, 821, 74, 623 on a calculator?

You can find the GCD of 923, 821, 74, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.