GCD of 621, 513, 114, 515 Calculator

Given Input numbers are 621, 513, 114, 515

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

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 621, 513, 114, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 513, 114, 515 is 1.

Therefore, GCD of numbers 621, 513, 114, 515 is 1

Given Input Data is 621, 513, 114, 515

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

Prime Factorization of 621 is 3 x 3 x 3 x 23

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 515 is 5 x 103

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(621, 513) = 11799

GCD(621, 513) = ( 621 x 513 ) / 11799

GCD(621, 513) = 318573 / 11799

GCD(621, 513) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 114

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

LCM(27, 114) = 1026

GCD(27, 114) = ( 27 x 114 ) / 1026

GCD(27, 114) = 3078 / 1026

GCD(27, 114) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 515

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

LCM(3, 515) = 1545

GCD(3, 515) = ( 3 x 515 ) / 1545

GCD(3, 515) = 1545 / 1545

GCD(3, 515) = 1

GCD of 621, 513, 114, 515 is 1

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1. What is the GCD of 621, 513, 114, 515?

GCD of 621, 513, 114, 515 is 1

2. Where do I get the detailed procedure to find GCD of 621, 513, 114, 515?

You can find a detailed procedure to find GCD of 621, 513, 114, 515 on our page.

3. How to find GCD of 621, 513, 114, 515 on a calculator?

You can find the GCD of 621, 513, 114, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.