GCD of 639, 954, 51, 170 Calculator

Given Input numbers are 639, 954, 51, 170

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 639, 954, 51, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 954, 51, 170 is 1.

Therefore, GCD of numbers 639, 954, 51, 170 is 1

Given Input Data is 639, 954, 51, 170

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 51 is 3 x 17

Prime Factorization of 170 is 2 x 5 x 17

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(639, 954) = 67734

GCD(639, 954) = ( 639 x 954 ) / 67734

GCD(639, 954) = 609606 / 67734

GCD(639, 954) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 51

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

LCM(9, 51) = 153

GCD(9, 51) = ( 9 x 51 ) / 153

GCD(9, 51) = 459 / 153

GCD(9, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 170

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

LCM(3, 170) = 510

GCD(3, 170) = ( 3 x 170 ) / 510

GCD(3, 170) = 510 / 510

GCD(3, 170) = 1

GCD of 639, 954, 51, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 241, 95, 499
• GCD of 759, 390, 71, 722
• GCD of 768, 871, 35, 247
• GCD of 521, 970, 44, 698
• GCD of 259, 896, 15, 659

1. What is the GCD of 639, 954, 51, 170?

GCD of 639, 954, 51, 170 is 1

2. Where do I get the detailed procedure to find GCD of 639, 954, 51, 170?

You can find a detailed procedure to find GCD of 639, 954, 51, 170 on our page.

3. How to find GCD of 639, 954, 51, 170 on a calculator?

You can find the GCD of 639, 954, 51, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.