GCD of 953, 816, 38, 597 Calculator

Given Input numbers are 953, 816, 38, 597

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 38

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

1, 2, 19, 38

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 953, 816, 38, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 816, 38, 597 is 1.

Therefore, GCD of numbers 953, 816, 38, 597 is 1

Given Input Data is 953, 816, 38, 597

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

Prime Factorization of 953 is 953

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 38 is 2 x 19

Prime Factorization of 597 is 3 x 199

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(953, 816) = 777648

GCD(953, 816) = ( 953 x 816 ) / 777648

GCD(953, 816) = 777648 / 777648

GCD(953, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 953, 816, 38, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 583, 55, 593
• GCD of 857, 322, 57, 601
• GCD of 767, 259, 98, 557
• GCD of 620, 352, 87, 845
• GCD of 997, 352, 53, 193

1. What is the GCD of 953, 816, 38, 597?

GCD of 953, 816, 38, 597 is 1

2. Where do I get the detailed procedure to find GCD of 953, 816, 38, 597?

You can find a detailed procedure to find GCD of 953, 816, 38, 597 on our page.

3. How to find GCD of 953, 816, 38, 597 on a calculator?

You can find the GCD of 953, 816, 38, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.