GCD of 728, 390, 533, 650 Calculator

Given Input numbers are 728, 390, 533, 650

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

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

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

GCD of numbers is the greatest common divisor

So, the GCD (728, 390, 533, 650) = 13.

Given numbers are 728, 390, 533, 650

The list of prime factors of all numbers are

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 533 are 13 x 41

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

The highest common occurrence is 13¹

Therefore, GCD of 728, 390, 533, 650 is 13.

Given numbers are 728, 390, 533, 650

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

Apply this formula for all numbers.

Step1:

LCM(728, 390) = 10920

GCD(728, 390) = ( 728 x 390 ) / 10920

= 728 / 390

= 728

Step2:

LCM(26, 533) = 1066

GCD(26, 533) = ( 26 x 533 ) / 1066

= 26 / 533

= 26

Step3:

LCM(13, 650) = 650

GCD(13, 650) = ( 13 x 650 ) / 650

= 13 / 650

= 13

So, Greatest Common Divisor of 728, 390, 533, 650 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 214, 213, 220
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• GCD of 960, 541, 243, 338

Given numbers are 728, 390, 533, 650
The greatest common divisor of numbers 728, 390, 533, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 390, 533, 650 is 13.

1. What is the GCD of 728, 390, 533, 650?

GCD of given numbers 728, 390, 533, 650 is 13

2. How to calculate the greatest common divisor of 728, 390, 533, 650?

We can find the highest common divisor of 728, 390, 533, 650 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 728, 390, 533, 650 i.e 13.

3. How can I use the GCD of 728, 390, 533, 650Calculator?

Out the numbers 728, 390, 533, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.