GCD of 522, 730, 660, 428 Calculator

Given Input numbers are 522, 730, 660, 428

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

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

Divisors of 730 :

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

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (522, 730, 660, 428) = 2.

Given numbers are 522, 730, 660, 428

The list of prime factors of all numbers are

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

Prime factors of 730 are 2 x 5 x 73

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 522, 730, 660, 428 is 2.

Given numbers are 522, 730, 660, 428

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

Apply this formula for all numbers.

Step1:

LCM(522, 730) = 190530

GCD(522, 730) = ( 522 x 730 ) / 190530

= 522 / 730

= 522

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 522, 730, 660, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 967, 711, 744
• GCD of 646, 543, 505, 177
• GCD of 661, 412, 407, 145
• GCD of 711, 812, 117, 158
• GCD of 129, 106, 318, 567

Given numbers are 522, 730, 660, 428
The greatest common divisor of numbers 522, 730, 660, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 730, 660, 428 is 2.

1. What is the GCD of 522, 730, 660, 428?

GCD of given numbers 522, 730, 660, 428 is 2

2. How to calculate the greatest common divisor of 522, 730, 660, 428?

We can find the highest common divisor of 522, 730, 660, 428 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 522, 730, 660, 428 i.e 2.

3. How can I use the GCD of 522, 730, 660, 428Calculator?

Out the numbers 522, 730, 660, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.