GCD of 730, 758, 442, 522 Calculator

Given Input numbers are 730, 758, 442, 522

In the factoring method, we have to find the divisors of all numbers

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (730, 758, 442, 522) = 2.

Given numbers are 730, 758, 442, 522

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 758 are 2 x 379

Prime factors of 442 are 2 x 13 x 17

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 730, 758, 442, 522 is 2.

Given numbers are 730, 758, 442, 522

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(730, 758) = 276670

GCD(730, 758) = ( 730 x 758 ) / 276670

= 730 / 758

= 730

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

Step3:

LCM(2, 522) = 522

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

= 2 / 522

= 2

So, Greatest Common Divisor of 730, 758, 442, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 395, 893, 326
• GCD of 281, 719, 265, 222
• GCD of 424, 138, 659, 219
• GCD of 169, 952, 388, 572
• GCD of 542, 515, 569, 394

Given numbers are 730, 758, 442, 522
The greatest common divisor of numbers 730, 758, 442, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 758, 442, 522 is 2.

1. What is the GCD of 730, 758, 442, 522?

GCD of given numbers 730, 758, 442, 522 is 2

2. How to calculate the greatest common divisor of 730, 758, 442, 522?

We can find the highest common divisor of 730, 758, 442, 522 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 730, 758, 442, 522 i.e 2.

3. How can I use the GCD of 730, 758, 442, 522Calculator?

Out the numbers 730, 758, 442, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.