GCD of 728, 692, 612, 232 Calculator

Given Input numbers are 728, 692, 612, 232

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (728, 692, 612, 232) = 4.

Given numbers are 728, 692, 612, 232

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 692 are 2 x 2 x 173

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2²

Therefore, GCD of 728, 692, 612, 232 is 4.

Given numbers are 728, 692, 612, 232

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

Apply this formula for all numbers.

Step1:

LCM(728, 692) = 125944

GCD(728, 692) = ( 728 x 692 ) / 125944

= 728 / 692

= 728

Step2:

LCM(4, 612) = 612

GCD(4, 612) = ( 4 x 612 ) / 612

= 4 / 612

= 4

Step3:

LCM(4, 232) = 232

GCD(4, 232) = ( 4 x 232 ) / 232

= 4 / 232

= 4

So, Greatest Common Divisor of 728, 692, 612, 232 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 878, 526, 320
• GCD of 410, 236, 633, 295
• GCD of 711, 134, 908, 480
• GCD of 325, 738, 303, 666
• GCD of 979, 318, 120, 746

Given numbers are 728, 692, 612, 232
The greatest common divisor of numbers 728, 692, 612, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 692, 612, 232 is 4.

1. What is the GCD of 728, 692, 612, 232?

GCD of given numbers 728, 692, 612, 232 is 4

2. How to calculate the greatest common divisor of 728, 692, 612, 232?

We can find the highest common divisor of 728, 692, 612, 232 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, 692, 612, 232 i.e 4.

3. How can I use the GCD of 728, 692, 612, 232Calculator?

Out the numbers 728, 692, 612, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.