GCD of 678, 309, 891, 364 Calculator

Given Input numbers are 678, 309, 891, 364

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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 (678, 309, 891, 364) = 1.

Given numbers are 678, 309, 891, 364

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 309 are 3 x 103

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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 678, 309, 891, 364

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

Apply this formula for all numbers.

Step1:

LCM(678, 309) = 69834

GCD(678, 309) = ( 678 x 309 ) / 69834

= 678 / 309

= 678

Step2:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

Step3:

LCM(3, 364) = 1092

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

= 3 / 364

= 3

So, Greatest Common Divisor of 678, 309, 891, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 652, 111, 170
• GCD of 661, 562, 124, 612
• GCD of 773, 606, 866, 520
• GCD of 444, 827, 255, 965
• GCD of 152, 127, 123, 466

Given numbers are 678, 309, 891, 364
The greatest common divisor of numbers 678, 309, 891, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 309, 891, 364 is 1.

1. What is the GCD of 678, 309, 891, 364?

GCD of given numbers 678, 309, 891, 364 is 1

2. How to calculate the greatest common divisor of 678, 309, 891, 364?

We can find the highest common divisor of 678, 309, 891, 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 678, 309, 891, 364 i.e 1.

3. How can I use the GCD of 678, 309, 891, 364Calculator?

Out the numbers 678, 309, 891, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.