GCD of 463, 312, 122, 961 Calculator

Given Input numbers are 463, 312, 122, 961

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 463, 312, 122, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 312, 122, 961 is 1.

Therefore, GCD of numbers 463, 312, 122, 961 is 1

Given Input Data is 463, 312, 122, 961

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

Prime Factorization of 463 is 463

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 961 is 31 x 31

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(463, 312) = 144456

GCD(463, 312) = ( 463 x 312 ) / 144456

GCD(463, 312) = 144456 / 144456

GCD(463, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 463, 312, 122, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 493, 988, 119
• GCD of 942, 312, 674, 125
• GCD of 861, 345, 118, 342
• GCD of 994, 848, 941, 202
• GCD of 352, 791, 638, 692

1. What is the GCD of 463, 312, 122, 961?

GCD of 463, 312, 122, 961 is 1

2. Where do I get the detailed procedure to find GCD of 463, 312, 122, 961?

You can find a detailed procedure to find GCD of 463, 312, 122, 961 on our page.

3. How to find GCD of 463, 312, 122, 961 on a calculator?

You can find the GCD of 463, 312, 122, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.