GCD of 513, 780, 383, 105 Calculator

Given Input numbers are 513, 780, 383, 105

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 383

List of positive integer divisors of 383 that divides 383 without a remainder.

1, 383

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 513, 780, 383, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 780, 383, 105 is 1.

Therefore, GCD of numbers 513, 780, 383, 105 is 1

Given Input Data is 513, 780, 383, 105

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 383 is 383

Prime Factorization of 105 is 3 x 5 x 7

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, 780) = 133380

GCD(513, 780) = ( 513 x 780 ) / 133380

GCD(513, 780) = 400140 / 133380

GCD(513, 780) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 383

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

LCM(3, 383) = 1149

GCD(3, 383) = ( 3 x 383 ) / 1149

GCD(3, 383) = 1149 / 1149

GCD(3, 383) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 513, 780, 383, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 390, 171, 115
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• GCD of 771, 946, 365, 954
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• GCD of 331, 780, 799, 856

1. What is the GCD of 513, 780, 383, 105?

GCD of 513, 780, 383, 105 is 1

2. Where do I get the detailed procedure to find GCD of 513, 780, 383, 105?

You can find a detailed procedure to find GCD of 513, 780, 383, 105 on our page.

3. How to find GCD of 513, 780, 383, 105 on a calculator?

You can find the GCD of 513, 780, 383, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.