GCD of 537, 618, 60, 966 Calculator

Given Input numbers are 537, 618, 60, 966

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 537, 618, 60, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 618, 60, 966 is 3.

Therefore, GCD of numbers 537, 618, 60, 966 is 3

Given Input Data is 537, 618, 60, 966

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 966 is 2 x 3 x 7 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(537, 618) = 110622

GCD(537, 618) = ( 537 x 618 ) / 110622

GCD(537, 618) = 331866 / 110622

GCD(537, 618) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 966

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

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

GCD(3, 966) = 2898 / 966

GCD(3, 966) = 3

GCD of 537, 618, 60, 966 is 3

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1. What is the GCD of 537, 618, 60, 966?

GCD of 537, 618, 60, 966 is 3

2. Where do I get the detailed procedure to find GCD of 537, 618, 60, 966?

You can find a detailed procedure to find GCD of 537, 618, 60, 966 on our page.

3. How to find GCD of 537, 618, 60, 966 on a calculator?

You can find the GCD of 537, 618, 60, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.