GCD of 678, 390, 971, 321 Calculator

Given Input numbers are 678, 390, 971, 321

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 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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 321 :

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

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (678, 390, 971, 321) = 1.

Given numbers are 678, 390, 971, 321

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 971 are 971

Prime factors of 321 are 3 x 107

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

Given numbers are 678, 390, 971, 321

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

Apply this formula for all numbers.

Step1:

LCM(678, 390) = 44070

GCD(678, 390) = ( 678 x 390 ) / 44070

= 678 / 390

= 678

Step2:

LCM(6, 971) = 5826

GCD(6, 971) = ( 6 x 971 ) / 5826

= 6 / 971

= 6

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 678, 390, 971, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 128, 239, 146
• GCD of 952, 630, 297, 709
• GCD of 850, 352, 812, 186
• GCD of 359, 153, 447, 555
• GCD of 414, 901, 172, 181

Given numbers are 678, 390, 971, 321
The greatest common divisor of numbers 678, 390, 971, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 390, 971, 321 is 1.

1. What is the GCD of 678, 390, 971, 321?

GCD of given numbers 678, 390, 971, 321 is 1

2. How to calculate the greatest common divisor of 678, 390, 971, 321?

We can find the highest common divisor of 678, 390, 971, 321 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, 390, 971, 321 i.e 1.

3. How can I use the GCD of 678, 390, 971, 321Calculator?

Out the numbers 678, 390, 971, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.