GCD of 303, 231, 390, 678 Calculator

Given Input numbers are 303, 231, 390, 678

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

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (303, 231, 390, 678) = 3.

Given numbers are 303, 231, 390, 678

The list of prime factors of all numbers are

Prime factors of 303 are 3 x 101

Prime factors of 231 are 3 x 7 x 11

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 303, 231, 390, 678 is 3.

Given numbers are 303, 231, 390, 678

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

Apply this formula for all numbers.

Step1:

LCM(303, 231) = 23331

GCD(303, 231) = ( 303 x 231 ) / 23331

= 303 / 231

= 303

Step2:

LCM(3, 390) = 390

GCD(3, 390) = ( 3 x 390 ) / 390

= 3 / 390

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 303, 231, 390, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 198, 400, 919
• GCD of 725, 238, 952, 974
• GCD of 408, 795, 616, 771
• GCD of 686, 187, 567, 804
• GCD of 776, 242, 693, 605

Given numbers are 303, 231, 390, 678
The greatest common divisor of numbers 303, 231, 390, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 303, 231, 390, 678 is 3.

1. What is the GCD of 303, 231, 390, 678?

GCD of given numbers 303, 231, 390, 678 is 3

2. How to calculate the greatest common divisor of 303, 231, 390, 678?

We can find the highest common divisor of 303, 231, 390, 678 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 303, 231, 390, 678 i.e 3.

3. How can I use the GCD of 303, 231, 390, 678Calculator?

Out the numbers 303, 231, 390, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.