GCD of 960, 394, 618, 631 Calculator

Given Input numbers are 960, 394, 618, 631

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 960, 394, 618, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 394, 618, 631 is 1.

Therefore, GCD of numbers 960, 394, 618, 631 is 1

Given Input Data is 960, 394, 618, 631

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 394 is 2 x 197

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 631 is 631

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(960, 394) = 189120

GCD(960, 394) = ( 960 x 394 ) / 189120

GCD(960, 394) = 378240 / 189120

GCD(960, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 631

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

LCM(2, 631) = 1262

GCD(2, 631) = ( 2 x 631 ) / 1262

GCD(2, 631) = 1262 / 1262

GCD(2, 631) = 1

GCD of 960, 394, 618, 631 is 1

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1. What is the GCD of 960, 394, 618, 631?

GCD of 960, 394, 618, 631 is 1

2. Where do I get the detailed procedure to find GCD of 960, 394, 618, 631?

You can find a detailed procedure to find GCD of 960, 394, 618, 631 on our page.

3. How to find GCD of 960, 394, 618, 631 on a calculator?

You can find the GCD of 960, 394, 618, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.