GCD of 543, 516, 73, 964 Calculator

Given Input numbers are 543, 516, 73, 964

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

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 543, 516, 73, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 516, 73, 964 is 1.

Therefore, GCD of numbers 543, 516, 73, 964 is 1

Given Input Data is 543, 516, 73, 964

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 73 is 73

Prime Factorization of 964 is 2 x 2 x 241

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(543, 516) = 93396

GCD(543, 516) = ( 543 x 516 ) / 93396

GCD(543, 516) = 280188 / 93396

GCD(543, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 543, 516, 73, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 289, 63, 981
• GCD of 271, 536, 47, 749
• GCD of 184, 215, 74, 139
• GCD of 990, 198, 91, 821
• GCD of 537, 268, 58, 585

1. What is the GCD of 543, 516, 73, 964?

GCD of 543, 516, 73, 964 is 1

2. Where do I get the detailed procedure to find GCD of 543, 516, 73, 964?

You can find a detailed procedure to find GCD of 543, 516, 73, 964 on our page.

3. How to find GCD of 543, 516, 73, 964 on a calculator?

You can find the GCD of 543, 516, 73, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.