GCD of 364, 972, 788, 789 Calculator

Given Input numbers are 364, 972, 788, 789

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 789 :

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

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (364, 972, 788, 789) = 1.

Given numbers are 364, 972, 788, 789

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 788 are 2 x 2 x 197

Prime factors of 789 are 3 x 263

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

Given numbers are 364, 972, 788, 789

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

Apply this formula for all numbers.

Step1:

LCM(364, 972) = 88452

GCD(364, 972) = ( 364 x 972 ) / 88452

= 364 / 972

= 364

Step2:

LCM(4, 788) = 788

GCD(4, 788) = ( 4 x 788 ) / 788

= 4 / 788

= 4

Step3:

LCM(4, 789) = 3156

GCD(4, 789) = ( 4 x 789 ) / 3156

= 4 / 789

= 4

So, Greatest Common Divisor of 364, 972, 788, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 679, 332, 244
• GCD of 869, 126, 558, 982
• GCD of 247, 311, 561, 791
• GCD of 825, 997, 495, 273
• GCD of 141, 943, 123, 430

Given numbers are 364, 972, 788, 789
The greatest common divisor of numbers 364, 972, 788, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 972, 788, 789 is 1.

1. What is the GCD of 364, 972, 788, 789?

GCD of given numbers 364, 972, 788, 789 is 1

2. How to calculate the greatest common divisor of 364, 972, 788, 789?

We can find the highest common divisor of 364, 972, 788, 789 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 364, 972, 788, 789 i.e 1.

3. How can I use the GCD of 364, 972, 788, 789Calculator?

Out the numbers 364, 972, 788, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.