GCD of 510, 767, 180, 159 Calculator

Given Input numbers are 510, 767, 180, 159

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 510, 767, 180, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 767, 180, 159 is 1.

Therefore, GCD of numbers 510, 767, 180, 159 is 1

Given Input Data is 510, 767, 180, 159

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 767 is 13 x 59

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 159 is 3 x 53

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(510, 767) = 391170

GCD(510, 767) = ( 510 x 767 ) / 391170

GCD(510, 767) = 391170 / 391170

GCD(510, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 510, 767, 180, 159 is 1

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1. What is the GCD of 510, 767, 180, 159?

GCD of 510, 767, 180, 159 is 1

2. Where do I get the detailed procedure to find GCD of 510, 767, 180, 159?

You can find a detailed procedure to find GCD of 510, 767, 180, 159 on our page.

3. How to find GCD of 510, 767, 180, 159 on a calculator?

You can find the GCD of 510, 767, 180, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.