GCD of 513, 232, 30, 101 Calculator

Given Input numbers are 513, 232, 30, 101

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 513, 232, 30, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 232, 30, 101 is 1.

Therefore, GCD of numbers 513, 232, 30, 101 is 1

Given Input Data is 513, 232, 30, 101

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 232 is 2 x 2 x 2 x 29

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 101 is 101

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, 232) = 119016

GCD(513, 232) = ( 513 x 232 ) / 119016

GCD(513, 232) = 119016 / 119016

GCD(513, 232) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 513, 232, 30, 101 is 1

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• GCD of 745, 560, 24, 677
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1. What is the GCD of 513, 232, 30, 101?

GCD of 513, 232, 30, 101 is 1

2. Where do I get the detailed procedure to find GCD of 513, 232, 30, 101?

You can find a detailed procedure to find GCD of 513, 232, 30, 101 on our page.

3. How to find GCD of 513, 232, 30, 101 on a calculator?

You can find the GCD of 513, 232, 30, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.