GCD of 306, 143, 387, 678 Calculator

Given Input numbers are 306, 143, 387, 678

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

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 (306, 143, 387, 678) = 1.

Given numbers are 306, 143, 387, 678

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 143 are 11 x 13

Prime factors of 387 are 3 x 3 x 43

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 306, 143, 387, 678

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

Apply this formula for all numbers.

Step1:

LCM(306, 143) = 43758

GCD(306, 143) = ( 306 x 143 ) / 43758

= 306 / 143

= 306

Step2:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 306, 143, 387, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 310, 128, 102
• GCD of 943, 981, 569, 850
• GCD of 912, 664, 298, 686
• GCD of 182, 287, 344, 959
• GCD of 541, 100, 321, 975

Given numbers are 306, 143, 387, 678
The greatest common divisor of numbers 306, 143, 387, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 143, 387, 678 is 1.

1. What is the GCD of 306, 143, 387, 678?

GCD of given numbers 306, 143, 387, 678 is 1

2. How to calculate the greatest common divisor of 306, 143, 387, 678?

We can find the highest common divisor of 306, 143, 387, 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 306, 143, 387, 678 i.e 1.

3. How can I use the GCD of 306, 143, 387, 678Calculator?

Out the numbers 306, 143, 387, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.