GCD of 349, 636, 79, 623 Calculator

Given Input numbers are 349, 636, 79, 623

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 349, 636, 79, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 636, 79, 623 is 1.

Therefore, GCD of numbers 349, 636, 79, 623 is 1

Given Input Data is 349, 636, 79, 623

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

Prime Factorization of 349 is 349

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 79 is 79

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(349, 636) = 221964

GCD(349, 636) = ( 349 x 636 ) / 221964

GCD(349, 636) = 221964 / 221964

GCD(349, 636) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 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 349, 636, 79, 623 is 1

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1. What is the GCD of 349, 636, 79, 623?

GCD of 349, 636, 79, 623 is 1

2. Where do I get the detailed procedure to find GCD of 349, 636, 79, 623?

You can find a detailed procedure to find GCD of 349, 636, 79, 623 on our page.

3. How to find GCD of 349, 636, 79, 623 on a calculator?

You can find the GCD of 349, 636, 79, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.