GCD of 513, 742, 32, 249 Calculator

Given Input numbers are 513, 742, 32, 249

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Greatest Common Divisior

We found the divisors of 513, 742, 32, 249 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 742, 32, 249 is 1.

Therefore, GCD of numbers 513, 742, 32, 249 is 1

Given Input Data is 513, 742, 32, 249

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 742 is 2 x 7 x 53

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 249 is 3 x 83

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, 742) = 380646

GCD(513, 742) = ( 513 x 742 ) / 380646

GCD(513, 742) = 380646 / 380646

GCD(513, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

GCD of 513, 742, 32, 249 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 436, 48, 115
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• GCD of 736, 427, 69, 947
• GCD of 256, 307, 67, 439

1. What is the GCD of 513, 742, 32, 249?

GCD of 513, 742, 32, 249 is 1

2. Where do I get the detailed procedure to find GCD of 513, 742, 32, 249?

You can find a detailed procedure to find GCD of 513, 742, 32, 249 on our page.

3. How to find GCD of 513, 742, 32, 249 on a calculator?

You can find the GCD of 513, 742, 32, 249 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.