GCD of 789, 256, 721 Calculator

Given Input numbers are 789, 256, 721

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (789, 256, 721) = 1.

Given numbers are 789, 256, 721

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 721 are 7 x 103

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

Given numbers are 789, 256, 721

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

Apply this formula for all numbers.

Step1:

LCM(789, 256) = 201984

GCD(789, 256) = ( 789 x 256 ) / 201984

= 789 / 256

= 789

Step2:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 789, 256, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 325, 365
• GCD of 310, 559, 782
• GCD of 987, 850, 926
• GCD of 164, 546, 194
• GCD of 567, 939, 707

Given numbers are 789, 256, 721
The greatest common divisor of numbers 789, 256, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 256, 721 is 1.

1. What is the GCD of 789, 256, 721?

GCD of given numbers 789, 256, 721 is 1

2. How to calculate the greatest common divisor of 789, 256, 721?

We can find the highest common divisor of 789, 256, 721 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 789, 256, 721 i.e 1.

3. How can I use the GCD of 789, 256, 721Calculator?

Out the numbers 789, 256, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.