GCD of 944, 642, 51, 513 Calculator

Given Input numbers are 944, 642, 51, 513

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

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 944, 642, 51, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 944, 642, 51, 513 is 1.

Therefore, GCD of numbers 944, 642, 51, 513 is 1

Given Input Data is 944, 642, 51, 513

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

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 51 is 3 x 17

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(944, 642) = 303024

GCD(944, 642) = ( 944 x 642 ) / 303024

GCD(944, 642) = 606048 / 303024

GCD(944, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 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 944, 642, 51, 513 is 1

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• GCD of 786, 341, 77, 157
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1. What is the GCD of 944, 642, 51, 513?

GCD of 944, 642, 51, 513 is 1

2. Where do I get the detailed procedure to find GCD of 944, 642, 51, 513?

You can find a detailed procedure to find GCD of 944, 642, 51, 513 on our page.

3. How to find GCD of 944, 642, 51, 513 on a calculator?

You can find the GCD of 944, 642, 51, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.