GCD of 50, 302, 513, 453 Calculator

Given Input numbers are 50, 302, 513, 453

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 50, 302, 513, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 302, 513, 453 is 1.

Therefore, GCD of numbers 50, 302, 513, 453 is 1

Given Input Data is 50, 302, 513, 453

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 302 is 2 x 151

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

Prime Factorization of 453 is 3 x 151

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(50, 302) = 7550

GCD(50, 302) = ( 50 x 302 ) / 7550

GCD(50, 302) = 15100 / 7550

GCD(50, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 50, 302, 513, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 650, 202, 206
• GCD of 81, 862, 281, 273
• GCD of 60, 195, 385, 547
• GCD of 26, 460, 188, 519
• GCD of 84, 136, 216, 207

1. What is the GCD of 50, 302, 513, 453?

GCD of 50, 302, 513, 453 is 1

2. Where do I get the detailed procedure to find GCD of 50, 302, 513, 453?

You can find a detailed procedure to find GCD of 50, 302, 513, 453 on our page.

3. How to find GCD of 50, 302, 513, 453 on a calculator?

You can find the GCD of 50, 302, 513, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.