GCD of 728, 844, 502, 598 Calculator

Given Input numbers are 728, 844, 502, 598

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 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 502 :

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

1, 2, 251, 502

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (728, 844, 502, 598) = 2.

Given numbers are 728, 844, 502, 598

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 844 are 2 x 2 x 211

Prime factors of 502 are 2 x 251

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 728, 844, 502, 598 is 2.

Given numbers are 728, 844, 502, 598

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

Apply this formula for all numbers.

Step1:

LCM(728, 844) = 153608

GCD(728, 844) = ( 728 x 844 ) / 153608

= 728 / 844

= 728

Step2:

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

= 4 / 502

= 4

Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

So, Greatest Common Divisor of 728, 844, 502, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 929, 159, 187
• GCD of 355, 864, 921, 487
• GCD of 952, 446, 795, 572
• GCD of 234, 544, 589, 184
• GCD of 677, 261, 786, 642

Given numbers are 728, 844, 502, 598
The greatest common divisor of numbers 728, 844, 502, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 844, 502, 598 is 2.

1. What is the GCD of 728, 844, 502, 598?

GCD of given numbers 728, 844, 502, 598 is 2

2. How to calculate the greatest common divisor of 728, 844, 502, 598?

We can find the highest common divisor of 728, 844, 502, 598 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, 844, 502, 598 i.e 2.

3. How can I use the GCD of 728, 844, 502, 598Calculator?

Out the numbers 728, 844, 502, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.