GCD of 331, 961, 60, 514 Calculator

Given Input numbers are 331, 961, 60, 514

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 961

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

1, 31, 961

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 331, 961, 60, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 961, 60, 514 is 1.

Therefore, GCD of numbers 331, 961, 60, 514 is 1

Given Input Data is 331, 961, 60, 514

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

Prime Factorization of 331 is 331

Prime Factorization of 961 is 31 x 31

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 514 is 2 x 257

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(331, 961) = 318091

GCD(331, 961) = ( 331 x 961 ) / 318091

GCD(331, 961) = 318091 / 318091

GCD(331, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 331, 961, 60, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 592, 20, 436
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• GCD of 435, 554, 95, 570
• GCD of 262, 474, 95, 265
• GCD of 799, 417, 22, 796

1. What is the GCD of 331, 961, 60, 514?

GCD of 331, 961, 60, 514 is 1

2. Where do I get the detailed procedure to find GCD of 331, 961, 60, 514?

You can find a detailed procedure to find GCD of 331, 961, 60, 514 on our page.

3. How to find GCD of 331, 961, 60, 514 on a calculator?

You can find the GCD of 331, 961, 60, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.