GCD of 961, 493, 21, 245 Calculator

Given Input numbers are 961, 493, 21, 245

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 493

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

1, 17, 29, 493

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 961, 493, 21, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 493, 21, 245 is 1.

Therefore, GCD of numbers 961, 493, 21, 245 is 1

Given Input Data is 961, 493, 21, 245

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 493 is 17 x 29

Prime Factorization of 21 is 3 x 7

Prime Factorization of 245 is 5 x 7 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(961, 493) = 473773

GCD(961, 493) = ( 961 x 493 ) / 473773

GCD(961, 493) = 473773 / 473773

GCD(961, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 245

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

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

GCD(1, 245) = 245 / 245

GCD(1, 245) = 1

GCD of 961, 493, 21, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 129, 11, 640
• GCD of 903, 962, 29, 885
• GCD of 760, 492, 82, 843
• GCD of 766, 506, 51, 606
• GCD of 699, 773, 65, 696

1. What is the GCD of 961, 493, 21, 245?

GCD of 961, 493, 21, 245 is 1

2. Where do I get the detailed procedure to find GCD of 961, 493, 21, 245?

You can find a detailed procedure to find GCD of 961, 493, 21, 245 on our page.

3. How to find GCD of 961, 493, 21, 245 on a calculator?

You can find the GCD of 961, 493, 21, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.