GCD of 961, 123, 30, 486 Calculator

Given Input numbers are 961, 123, 30, 486

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 961, 123, 30, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 123, 30, 486 is 1.

Therefore, GCD of numbers 961, 123, 30, 486 is 1

Given Input Data is 961, 123, 30, 486

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 123 is 3 x 41

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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, 123) = 118203

GCD(961, 123) = ( 961 x 123 ) / 118203

GCD(961, 123) = 118203 / 118203

GCD(961, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 961, 123, 30, 486 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 482, 53, 904
• GCD of 958, 496, 76, 952
• GCD of 975, 509, 38, 565
• GCD of 426, 311, 73, 654
• GCD of 721, 619, 41, 733

1. What is the GCD of 961, 123, 30, 486?

GCD of 961, 123, 30, 486 is 1

2. Where do I get the detailed procedure to find GCD of 961, 123, 30, 486?

You can find a detailed procedure to find GCD of 961, 123, 30, 486 on our page.

3. How to find GCD of 961, 123, 30, 486 on a calculator?

You can find the GCD of 961, 123, 30, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.