GCD of 105, 184, 59, 669 Calculator

Given Input numbers are 105, 184, 59, 669

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 105, 184, 59, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 184, 59, 669 is 1.

Therefore, GCD of numbers 105, 184, 59, 669 is 1

Given Input Data is 105, 184, 59, 669

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 59 is 59

Prime Factorization of 669 is 3 x 223

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(105, 184) = 19320

GCD(105, 184) = ( 105 x 184 ) / 19320

GCD(105, 184) = 19320 / 19320

GCD(105, 184) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 105, 184, 59, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 647, 140, 78, 821
• GCD of 504, 610, 38, 739
• GCD of 615, 311, 65, 869
• GCD of 453, 423, 41, 564
• GCD of 741, 869, 24, 387

1. What is the GCD of 105, 184, 59, 669?

GCD of 105, 184, 59, 669 is 1

2. Where do I get the detailed procedure to find GCD of 105, 184, 59, 669?

You can find a detailed procedure to find GCD of 105, 184, 59, 669 on our page.

3. How to find GCD of 105, 184, 59, 669 on a calculator?

You can find the GCD of 105, 184, 59, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.