GCD of 38, 960, 513, 698 Calculator

Given Input numbers are 38, 960, 513, 698

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 38, 960, 513, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 960, 513, 698 is 1.

Therefore, GCD of numbers 38, 960, 513, 698 is 1

Given Input Data is 38, 960, 513, 698

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 698 is 2 x 349

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(38, 960) = 18240

GCD(38, 960) = ( 38 x 960 ) / 18240

GCD(38, 960) = 36480 / 18240

GCD(38, 960) = 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 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 38, 960, 513, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 962, 527, 327
• GCD of 73, 961, 257, 718
• GCD of 30, 920, 213, 331
• GCD of 81, 697, 610, 649
• GCD of 61, 728, 410, 556

1. What is the GCD of 38, 960, 513, 698?

GCD of 38, 960, 513, 698 is 1

2. Where do I get the detailed procedure to find GCD of 38, 960, 513, 698?

You can find a detailed procedure to find GCD of 38, 960, 513, 698 on our page.

3. How to find GCD of 38, 960, 513, 698 on a calculator?

You can find the GCD of 38, 960, 513, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.