GCD of 513, 450, 635, 556 Calculator

Given Input numbers are 513, 450, 635, 556

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 513, 450, 635, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 450, 635, 556 is 1.

Therefore, GCD of numbers 513, 450, 635, 556 is 1

Given Input Data is 513, 450, 635, 556

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 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 635 is 5 x 127

Prime Factorization of 556 is 2 x 2 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, 450) = 25650

GCD(513, 450) = ( 513 x 450 ) / 25650

GCD(513, 450) = 230850 / 25650

GCD(513, 450) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 635

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

LCM(9, 635) = 5715

GCD(9, 635) = ( 9 x 635 ) / 5715

GCD(9, 635) = 5715 / 5715

GCD(9, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 513, 450, 635, 556 is 1

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• GCD of 165, 227, 606, 531
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• GCD of 464, 558, 530, 812

1. What is the GCD of 513, 450, 635, 556?

GCD of 513, 450, 635, 556 is 1

2. Where do I get the detailed procedure to find GCD of 513, 450, 635, 556?

You can find a detailed procedure to find GCD of 513, 450, 635, 556 on our page.

3. How to find GCD of 513, 450, 635, 556 on a calculator?

You can find the GCD of 513, 450, 635, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.