GCD of 522, 728, 648, 502 Calculator

Given Input numbers are 522, 728, 648, 502

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 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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (522, 728, 648, 502) = 2.

Given numbers are 522, 728, 648, 502

The list of prime factors of all numbers are

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

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 522, 728, 648, 502 is 2.

Given numbers are 522, 728, 648, 502

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

Apply this formula for all numbers.

Step1:

LCM(522, 728) = 190008

GCD(522, 728) = ( 522 x 728 ) / 190008

= 522 / 728

= 522

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

So, Greatest Common Divisor of 522, 728, 648, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 264, 531, 141
• GCD of 222, 422, 499, 185
• GCD of 228, 560, 627, 985
• GCD of 414, 522, 465, 968
• GCD of 992, 700, 642, 753

Given numbers are 522, 728, 648, 502
The greatest common divisor of numbers 522, 728, 648, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 728, 648, 502 is 2.

1. What is the GCD of 522, 728, 648, 502?

GCD of given numbers 522, 728, 648, 502 is 2

2. How to calculate the greatest common divisor of 522, 728, 648, 502?

We can find the highest common divisor of 522, 728, 648, 502 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, 728, 648, 502 i.e 2.

3. How can I use the GCD of 522, 728, 648, 502Calculator?

Out the numbers 522, 728, 648, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.