GCD of 513, 940, 939, 973 Calculator

Given Input numbers are 513, 940, 939, 973

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 513, 940, 939, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 940, 939, 973 is 1.

Therefore, GCD of numbers 513, 940, 939, 973 is 1

Given Input Data is 513, 940, 939, 973

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 939 is 3 x 313

Prime Factorization of 973 is 7 x 139

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(513, 940) = 482220

GCD(513, 940) = ( 513 x 940 ) / 482220

GCD(513, 940) = 482220 / 482220

GCD(513, 940) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 939

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

LCM(1, 939) = 939

GCD(1, 939) = ( 1 x 939 ) / 939

GCD(1, 939) = 939 / 939

GCD(1, 939) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 513, 940, 939, 973 is 1

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1. What is the GCD of 513, 940, 939, 973?

GCD of 513, 940, 939, 973 is 1

2. Where do I get the detailed procedure to find GCD of 513, 940, 939, 973?

You can find a detailed procedure to find GCD of 513, 940, 939, 973 on our page.

3. How to find GCD of 513, 940, 939, 973 on a calculator?

You can find the GCD of 513, 940, 939, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.