GCD of 874, 923, 36, 529 Calculator

Given Input numbers are 874, 923, 36, 529

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 923

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

1, 13, 71, 923

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 874, 923, 36, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 923, 36, 529 is 1.

Therefore, GCD of numbers 874, 923, 36, 529 is 1

Given Input Data is 874, 923, 36, 529

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 923 is 13 x 71

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

Prime Factorization of 529 is 23 x 23

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(874, 923) = 806702

GCD(874, 923) = ( 874 x 923 ) / 806702

GCD(874, 923) = 806702 / 806702

GCD(874, 923) = 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 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 874, 923, 36, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 228, 36, 968
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• GCD of 968, 602, 35, 517
• GCD of 265, 391, 19, 295

1. What is the GCD of 874, 923, 36, 529?

GCD of 874, 923, 36, 529 is 1

2. Where do I get the detailed procedure to find GCD of 874, 923, 36, 529?

You can find a detailed procedure to find GCD of 874, 923, 36, 529 on our page.

3. How to find GCD of 874, 923, 36, 529 on a calculator?

You can find the GCD of 874, 923, 36, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.