GCD of 106, 145, 599, 504 Calculator

Given Input numbers are 106, 145, 599, 504

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 106, 145, 599, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 145, 599, 504 is 1.

Therefore, GCD of numbers 106, 145, 599, 504 is 1

Given Input Data is 106, 145, 599, 504

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 145 is 5 x 29

Prime Factorization of 599 is 599

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(106, 145) = 15370

GCD(106, 145) = ( 106 x 145 ) / 15370

GCD(106, 145) = 15370 / 15370

GCD(106, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 106, 145, 599, 504 is 1

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• GCD of 216, 129, 349, 331
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1. What is the GCD of 106, 145, 599, 504?

GCD of 106, 145, 599, 504 is 1

2. Where do I get the detailed procedure to find GCD of 106, 145, 599, 504?

You can find a detailed procedure to find GCD of 106, 145, 599, 504 on our page.

3. How to find GCD of 106, 145, 599, 504 on a calculator?

You can find the GCD of 106, 145, 599, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.