GCD of 518, 189, 89, 771 Calculator

Given Input numbers are 518, 189, 89, 771

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 518, 189, 89, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 189, 89, 771 is 1.

Therefore, GCD of numbers 518, 189, 89, 771 is 1

Given Input Data is 518, 189, 89, 771

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 89 is 89

Prime Factorization of 771 is 3 x 257

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(518, 189) = 13986

GCD(518, 189) = ( 518 x 189 ) / 13986

GCD(518, 189) = 97902 / 13986

GCD(518, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 89

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

LCM(7, 89) = 623

GCD(7, 89) = ( 7 x 89 ) / 623

GCD(7, 89) = 623 / 623

GCD(7, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 518, 189, 89, 771 is 1

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1. What is the GCD of 518, 189, 89, 771?

GCD of 518, 189, 89, 771 is 1

2. Where do I get the detailed procedure to find GCD of 518, 189, 89, 771?

You can find a detailed procedure to find GCD of 518, 189, 89, 771 on our page.

3. How to find GCD of 518, 189, 89, 771 on a calculator?

You can find the GCD of 518, 189, 89, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.