GCD of 728, 367, 920, 213 Calculator

Given Input numbers are 728, 367, 920, 213

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 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (728, 367, 920, 213) = 1.

Given numbers are 728, 367, 920, 213

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 367 are 367

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 213 are 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 728, 367, 920, 213

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

Apply this formula for all numbers.

Step1:

LCM(728, 367) = 267176

GCD(728, 367) = ( 728 x 367 ) / 267176

= 728 / 367

= 728

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 728, 367, 920, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 601, 342, 946
• GCD of 119, 420, 716, 340
• GCD of 884, 338, 641, 996
• GCD of 424, 243, 600, 827
• GCD of 582, 611, 901, 958

Given numbers are 728, 367, 920, 213
The greatest common divisor of numbers 728, 367, 920, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 367, 920, 213 is 1.

1. What is the GCD of 728, 367, 920, 213?

GCD of given numbers 728, 367, 920, 213 is 1

2. How to calculate the greatest common divisor of 728, 367, 920, 213?

We can find the highest common divisor of 728, 367, 920, 213 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, 367, 920, 213 i.e 1.

3. How can I use the GCD of 728, 367, 920, 213Calculator?

Out the numbers 728, 367, 920, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.