GCD of 633, 309, 857, 513 Calculator

Given Input numbers are 633, 309, 857, 513

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 633, 309, 857, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 309, 857, 513 is 1.

Therefore, GCD of numbers 633, 309, 857, 513 is 1

Given Input Data is 633, 309, 857, 513

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 309 is 3 x 103

Prime Factorization of 857 is 857

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

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(633, 309) = 65199

GCD(633, 309) = ( 633 x 309 ) / 65199

GCD(633, 309) = 195597 / 65199

GCD(633, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 857

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

LCM(3, 857) = 2571

GCD(3, 857) = ( 3 x 857 ) / 2571

GCD(3, 857) = 2571 / 2571

GCD(3, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 633, 309, 857, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 429, 442, 103
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• GCD of 262, 291, 511, 581

1. What is the GCD of 633, 309, 857, 513?

GCD of 633, 309, 857, 513 is 1

2. Where do I get the detailed procedure to find GCD of 633, 309, 857, 513?

You can find a detailed procedure to find GCD of 633, 309, 857, 513 on our page.

3. How to find GCD of 633, 309, 857, 513 on a calculator?

You can find the GCD of 633, 309, 857, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.