GCD of 108, 437, 23, 769 Calculator

Given Input numbers are 108, 437, 23, 769

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 437

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

1, 19, 23, 437

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 108, 437, 23, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 437, 23, 769 is 1.

Therefore, GCD of numbers 108, 437, 23, 769 is 1

Given Input Data is 108, 437, 23, 769

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 437 is 19 x 23

Prime Factorization of 23 is 23

Prime Factorization of 769 is 769

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(108, 437) = 47196

GCD(108, 437) = ( 108 x 437 ) / 47196

GCD(108, 437) = 47196 / 47196

GCD(108, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 108, 437, 23, 769 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 100, 61, 179
• GCD of 652, 776, 16, 863
• GCD of 329, 551, 85, 433
• GCD of 307, 556, 15, 854
• GCD of 790, 178, 17, 251

1. What is the GCD of 108, 437, 23, 769?

GCD of 108, 437, 23, 769 is 1

2. Where do I get the detailed procedure to find GCD of 108, 437, 23, 769?

You can find a detailed procedure to find GCD of 108, 437, 23, 769 on our page.

3. How to find GCD of 108, 437, 23, 769 on a calculator?

You can find the GCD of 108, 437, 23, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.