GCD of 354, 614, 522, 730 Calculator

Given Input numbers are 354, 614, 522, 730

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 354, 614, 522, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 614, 522, 730 is 2.

Therefore, GCD of numbers 354, 614, 522, 730 is 2

Given Input Data is 354, 614, 522, 730

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 614 is 2 x 307

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

Prime Factorization of 730 is 2 x 5 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(354, 614) = 108678

GCD(354, 614) = ( 354 x 614 ) / 108678

GCD(354, 614) = 217356 / 108678

GCD(354, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 354, 614, 522, 730 is 2

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1. What is the GCD of 354, 614, 522, 730?

GCD of 354, 614, 522, 730 is 2

2. Where do I get the detailed procedure to find GCD of 354, 614, 522, 730?

You can find a detailed procedure to find GCD of 354, 614, 522, 730 on our page.

3. How to find GCD of 354, 614, 522, 730 on a calculator?

You can find the GCD of 354, 614, 522, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.