GCD of 821, 754, 923, 826 Calculator

Given Input numbers are 821, 754, 923, 826

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

Divisors of 821

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

1, 821

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 923

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

1, 13, 71, 923

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 821, 754, 923, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 754, 923, 826 is 1.

Therefore, GCD of numbers 821, 754, 923, 826 is 1

Given Input Data is 821, 754, 923, 826

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

Prime Factorization of 821 is 821

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 923 is 13 x 71

Prime Factorization of 826 is 2 x 7 x 59

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(821, 754) = 619034

GCD(821, 754) = ( 821 x 754 ) / 619034

GCD(821, 754) = 619034 / 619034

GCD(821, 754) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 821, 754, 923, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 885, 808, 540
• GCD of 559, 298, 912, 535
• GCD of 829, 496, 830, 493
• GCD of 449, 624, 261, 926
• GCD of 309, 451, 807, 803

1. What is the GCD of 821, 754, 923, 826?

GCD of 821, 754, 923, 826 is 1

2. Where do I get the detailed procedure to find GCD of 821, 754, 923, 826?

You can find a detailed procedure to find GCD of 821, 754, 923, 826 on our page.

3. How to find GCD of 821, 754, 923, 826 on a calculator?

You can find the GCD of 821, 754, 923, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.