GCD of 917, 963, 90, 493 Calculator

Given Input numbers are 917, 963, 90, 493

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 917, 963, 90, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 963, 90, 493 is 1.

Therefore, GCD of numbers 917, 963, 90, 493 is 1

Given Input Data is 917, 963, 90, 493

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 493 is 17 x 29

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(917, 963) = 883071

GCD(917, 963) = ( 917 x 963 ) / 883071

GCD(917, 963) = 883071 / 883071

GCD(917, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 917, 963, 90, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 242, 48, 295
• GCD of 512, 428, 46, 355
• GCD of 509, 977, 95, 632
• GCD of 456, 943, 72, 978
• GCD of 149, 697, 55, 615

1. What is the GCD of 917, 963, 90, 493?

GCD of 917, 963, 90, 493 is 1

2. Where do I get the detailed procedure to find GCD of 917, 963, 90, 493?

You can find a detailed procedure to find GCD of 917, 963, 90, 493 on our page.

3. How to find GCD of 917, 963, 90, 493 on a calculator?

You can find the GCD of 917, 963, 90, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.