GCD of 102, 470, 69, 669 Calculator

Given Input numbers are 102, 470, 69, 669

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 102, 470, 69, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 470, 69, 669 is 1.

Therefore, GCD of numbers 102, 470, 69, 669 is 1

Given Input Data is 102, 470, 69, 669

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 69 is 3 x 23

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(102, 470) = 23970

GCD(102, 470) = ( 102 x 470 ) / 23970

GCD(102, 470) = 47940 / 23970

GCD(102, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 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 102, 470, 69, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 758, 81, 861
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1. What is the GCD of 102, 470, 69, 669?

GCD of 102, 470, 69, 669 is 1

2. Where do I get the detailed procedure to find GCD of 102, 470, 69, 669?

You can find a detailed procedure to find GCD of 102, 470, 69, 669 on our page.

3. How to find GCD of 102, 470, 69, 669 on a calculator?

You can find the GCD of 102, 470, 69, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.