GCD of 522, 968, 353, 740 Calculator

Given Input numbers are 522, 968, 353, 740

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 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 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 522, 968, 353, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 968, 353, 740 is 1.

Therefore, GCD of numbers 522, 968, 353, 740 is 1

Given Input Data is 522, 968, 353, 740

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 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 353 is 353

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 968) = 252648

GCD(522, 968) = ( 522 x 968 ) / 252648

GCD(522, 968) = 505296 / 252648

GCD(522, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 522, 968, 353, 740 is 1

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1. What is the GCD of 522, 968, 353, 740?

GCD of 522, 968, 353, 740 is 1

2. Where do I get the detailed procedure to find GCD of 522, 968, 353, 740?

You can find a detailed procedure to find GCD of 522, 968, 353, 740 on our page.

3. How to find GCD of 522, 968, 353, 740 on a calculator?

You can find the GCD of 522, 968, 353, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.