GCD of 678, 715, 321, 784 Calculator

Given Input numbers are 678, 715, 321, 784

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 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (678, 715, 321, 784) = 1.

Given numbers are 678, 715, 321, 784

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 715 are 5 x 11 x 13

Prime factors of 321 are 3 x 107

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 678, 715, 321, 784

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

Apply this formula for all numbers.

Step1:

LCM(678, 715) = 484770

GCD(678, 715) = ( 678 x 715 ) / 484770

= 678 / 715

= 678

Step2:

LCM(1, 321) = 321

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

= 1 / 321

= 1

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 678, 715, 321, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 199, 517, 446
• GCD of 783, 341, 311, 590
• GCD of 602, 252, 193, 352
• GCD of 369, 934, 924, 398
• GCD of 573, 329, 676, 677

Given numbers are 678, 715, 321, 784
The greatest common divisor of numbers 678, 715, 321, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 715, 321, 784 is 1.

1. What is the GCD of 678, 715, 321, 784?

GCD of given numbers 678, 715, 321, 784 is 1

2. How to calculate the greatest common divisor of 678, 715, 321, 784?

We can find the highest common divisor of 678, 715, 321, 784 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, 715, 321, 784 i.e 1.

3. How can I use the GCD of 678, 715, 321, 784Calculator?

Out the numbers 678, 715, 321, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.