GCD of 968, 132, 583, 351 Calculator

Given Input numbers are 968, 132, 583, 351

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 968, 132, 583, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 132, 583, 351 is 1.

Therefore, GCD of numbers 968, 132, 583, 351 is 1

Given Input Data is 968, 132, 583, 351

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 583 is 11 x 53

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(968, 132) = 2904

GCD(968, 132) = ( 968 x 132 ) / 2904

GCD(968, 132) = 127776 / 2904

GCD(968, 132) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 583

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

LCM(44, 583) = 2332

GCD(44, 583) = ( 44 x 583 ) / 2332

GCD(44, 583) = 25652 / 2332

GCD(44, 583) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 351

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

LCM(11, 351) = 3861

GCD(11, 351) = ( 11 x 351 ) / 3861

GCD(11, 351) = 3861 / 3861

GCD(11, 351) = 1

GCD of 968, 132, 583, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 492, 871, 450
• GCD of 648, 258, 947, 638
• GCD of 525, 186, 732, 636
• GCD of 912, 814, 361, 634
• GCD of 181, 785, 879, 327

1. What is the GCD of 968, 132, 583, 351?

GCD of 968, 132, 583, 351 is 1

2. Where do I get the detailed procedure to find GCD of 968, 132, 583, 351?

You can find a detailed procedure to find GCD of 968, 132, 583, 351 on our page.

3. How to find GCD of 968, 132, 583, 351 on a calculator?

You can find the GCD of 968, 132, 583, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.