GCD of 728, 861, 679, 468 Calculator

Given Input numbers are 728, 861, 679, 468

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (728, 861, 679, 468) = 1.

Given numbers are 728, 861, 679, 468

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 861 are 3 x 7 x 41

Prime factors of 679 are 7 x 97

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Given numbers are 728, 861, 679, 468

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

Apply this formula for all numbers.

Step1:

LCM(728, 861) = 89544

GCD(728, 861) = ( 728 x 861 ) / 89544

= 728 / 861

= 728

Step2:

LCM(7, 679) = 679

GCD(7, 679) = ( 7 x 679 ) / 679

= 7 / 679

= 7

Step3:

LCM(7, 468) = 3276

GCD(7, 468) = ( 7 x 468 ) / 3276

= 7 / 468

= 7

So, Greatest Common Divisor of 728, 861, 679, 468 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 292, 503, 591
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• GCD of 832, 767, 144, 302

Given numbers are 728, 861, 679, 468
The greatest common divisor of numbers 728, 861, 679, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 861, 679, 468 is 1.

1. What is the GCD of 728, 861, 679, 468?

GCD of given numbers 728, 861, 679, 468 is 1

2. How to calculate the greatest common divisor of 728, 861, 679, 468?

We can find the highest common divisor of 728, 861, 679, 468 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, 861, 679, 468 i.e 1.

3. How can I use the GCD of 728, 861, 679, 468Calculator?

Out the numbers 728, 861, 679, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.