GCD of 309, 966, 780, 364 Calculator

Given Input numbers are 309, 966, 780, 364

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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

GCD of numbers is the greatest common divisor

So, the GCD (309, 966, 780, 364) = 1.

Given numbers are 309, 966, 780, 364

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

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

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

Given numbers are 309, 966, 780, 364

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

Apply this formula for all numbers.

Step1:

LCM(309, 966) = 99498

GCD(309, 966) = ( 309 x 966 ) / 99498

= 309 / 966

= 309

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

So, Greatest Common Divisor of 309, 966, 780, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 219, 238, 295
• GCD of 712, 476, 857, 345
• GCD of 809, 378, 601, 953
• GCD of 458, 953, 462, 773
• GCD of 309, 610, 338, 445

Given numbers are 309, 966, 780, 364
The greatest common divisor of numbers 309, 966, 780, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 966, 780, 364 is 1.

1. What is the GCD of 309, 966, 780, 364?

GCD of given numbers 309, 966, 780, 364 is 1

2. How to calculate the greatest common divisor of 309, 966, 780, 364?

We can find the highest common divisor of 309, 966, 780, 364 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 309, 966, 780, 364 i.e 1.

3. How can I use the GCD of 309, 966, 780, 364Calculator?

Out the numbers 309, 966, 780, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.