GCD of 82, 704, 923, 437 Calculator

Given Input numbers are 82, 704, 923, 437

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 923

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

1, 13, 71, 923

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 82, 704, 923, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 704, 923, 437 is 1.

Therefore, GCD of numbers 82, 704, 923, 437 is 1

Given Input Data is 82, 704, 923, 437

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 923 is 13 x 71

Prime Factorization of 437 is 19 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(82, 704) = 28864

GCD(82, 704) = ( 82 x 704 ) / 28864

GCD(82, 704) = 57728 / 28864

GCD(82, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 82, 704, 923, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 840, 354, 926
• GCD of 89, 811, 634, 533
• GCD of 24, 105, 974, 666
• GCD of 29, 746, 676, 251
• GCD of 30, 903, 674, 680

1. What is the GCD of 82, 704, 923, 437?

GCD of 82, 704, 923, 437 is 1

2. Where do I get the detailed procedure to find GCD of 82, 704, 923, 437?

You can find a detailed procedure to find GCD of 82, 704, 923, 437 on our page.

3. How to find GCD of 82, 704, 923, 437 on a calculator?

You can find the GCD of 82, 704, 923, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.