GCD of 712, 814, 687, 390 Calculator

Given Input numbers are 712, 814, 687, 390

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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

GCD of numbers is the greatest common divisor

So, the GCD (712, 814, 687, 390) = 1.

Given numbers are 712, 814, 687, 390

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 814 are 2 x 11 x 37

Prime factors of 687 are 3 x 229

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

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

Given numbers are 712, 814, 687, 390

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

Apply this formula for all numbers.

Step1:

LCM(712, 814) = 289784

GCD(712, 814) = ( 712 x 814 ) / 289784

= 712 / 814

= 712

Step2:

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

= 2 / 687

= 2

Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

So, Greatest Common Divisor of 712, 814, 687, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 630, 274, 240
• GCD of 866, 455, 223, 898
• GCD of 350, 347, 178, 568
• GCD of 232, 477, 410, 135
• GCD of 393, 203, 783, 346

Given numbers are 712, 814, 687, 390
The greatest common divisor of numbers 712, 814, 687, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 814, 687, 390 is 1.

1. What is the GCD of 712, 814, 687, 390?

GCD of given numbers 712, 814, 687, 390 is 1

2. How to calculate the greatest common divisor of 712, 814, 687, 390?

We can find the highest common divisor of 712, 814, 687, 390 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 712, 814, 687, 390 i.e 1.

3. How can I use the GCD of 712, 814, 687, 390Calculator?

Out the numbers 712, 814, 687, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.