GCD of 321, 774, 77, 309 Calculator

Given Input numbers are 321, 774, 77, 309

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (321, 774, 77, 309) = 1.

Given numbers are 321, 774, 77, 309

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 77 are 7 x 11

Prime factors of 309 are 3 x 103

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

Given numbers are 321, 774, 77, 309

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

Apply this formula for all numbers.

Step1:

LCM(321, 774) = 82818

GCD(321, 774) = ( 321 x 774 ) / 82818

= 321 / 774

= 321

Step2:

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

= 3 / 77

= 3

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 321, 774, 77, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 716, 56, 674
• GCD of 899, 971, 83, 740
• GCD of 708, 788, 16, 794
• GCD of 495, 841, 42, 318
• GCD of 168, 817, 95, 904

Given numbers are 321, 774, 77, 309
The greatest common divisor of numbers 321, 774, 77, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 774, 77, 309 is 1.

1. What is the GCD of 321, 774, 77, 309?

GCD of given numbers 321, 774, 77, 309 is 1

2. How to calculate the greatest common divisor of 321, 774, 77, 309?

We can find the highest common divisor of 321, 774, 77, 309 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 321, 774, 77, 309 i.e 1.

3. How can I use the GCD of 321, 774, 77, 309Calculator?

Out the numbers 321, 774, 77, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.