GCD of 531, 660, 118, 659 Calculator

Given Input numbers are 531, 660, 118, 659

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

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 531, 660, 118, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 660, 118, 659 is 1.

Therefore, GCD of numbers 531, 660, 118, 659 is 1

Given Input Data is 531, 660, 118, 659

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 118 is 2 x 59

Prime Factorization of 659 is 659

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(531, 660) = 116820

GCD(531, 660) = ( 531 x 660 ) / 116820

GCD(531, 660) = 350460 / 116820

GCD(531, 660) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 118

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

LCM(3, 118) = 354

GCD(3, 118) = ( 3 x 118 ) / 354

GCD(3, 118) = 354 / 354

GCD(3, 118) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 531, 660, 118, 659 is 1

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1. What is the GCD of 531, 660, 118, 659?

GCD of 531, 660, 118, 659 is 1

2. Where do I get the detailed procedure to find GCD of 531, 660, 118, 659?

You can find a detailed procedure to find GCD of 531, 660, 118, 659 on our page.

3. How to find GCD of 531, 660, 118, 659 on a calculator?

You can find the GCD of 531, 660, 118, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.