GCD of 522, 622, 960, 701 Calculator

Given Input numbers are 522, 622, 960, 701

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Greatest Common Divisior

We found the divisors of 522, 622, 960, 701 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 622, 960, 701 is 1.

Therefore, GCD of numbers 522, 622, 960, 701 is 1

Given Input Data is 522, 622, 960, 701

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 622 is 2 x 311

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

Prime Factorization of 701 is 701

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(522, 622) = 162342

GCD(522, 622) = ( 522 x 622 ) / 162342

GCD(522, 622) = 324684 / 162342

GCD(522, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

GCD of 522, 622, 960, 701 is 1

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1. What is the GCD of 522, 622, 960, 701?

GCD of 522, 622, 960, 701 is 1

2. Where do I get the detailed procedure to find GCD of 522, 622, 960, 701?

You can find a detailed procedure to find GCD of 522, 622, 960, 701 on our page.

3. How to find GCD of 522, 622, 960, 701 on a calculator?

You can find the GCD of 522, 622, 960, 701 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.