GCD of 522, 550, 650, 728 Calculator

Given Input numbers are 522, 550, 650, 728

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (522, 550, 650, 728) = 2.

Given numbers are 522, 550, 650, 728

The list of prime factors of all numbers are

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

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 522, 550, 650, 728 is 2.

Given numbers are 522, 550, 650, 728

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

Apply this formula for all numbers.

Step1:

LCM(522, 550) = 143550

GCD(522, 550) = ( 522 x 550 ) / 143550

= 522 / 550

= 522

Step2:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 522, 550, 650, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 729, 770, 773
• GCD of 226, 991, 260, 378
• GCD of 264, 201, 573, 537
• GCD of 295, 227, 845, 546
• GCD of 179, 572, 320, 106

Given numbers are 522, 550, 650, 728
The greatest common divisor of numbers 522, 550, 650, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 550, 650, 728 is 2.

1. What is the GCD of 522, 550, 650, 728?

GCD of given numbers 522, 550, 650, 728 is 2

2. How to calculate the greatest common divisor of 522, 550, 650, 728?

We can find the highest common divisor of 522, 550, 650, 728 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, 550, 650, 728 i.e 2.

3. How can I use the GCD of 522, 550, 650, 728Calculator?

Out the numbers 522, 550, 650, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.