GCD of 789, 687, 978, 712 Calculator

Given Input numbers are 789, 687, 978, 712

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 712 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (789, 687, 978, 712) = 1.

Given numbers are 789, 687, 978, 712

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 687 are 3 x 229

Prime factors of 978 are 2 x 3 x 163

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

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

Given numbers are 789, 687, 978, 712

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

Apply this formula for all numbers.

Step1:

LCM(789, 687) = 180681

GCD(789, 687) = ( 789 x 687 ) / 180681

= 789 / 687

= 789

Step2:

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

= 3 / 978

= 3

Step3:

LCM(3, 712) = 2136

GCD(3, 712) = ( 3 x 712 ) / 2136

= 3 / 712

= 3

So, Greatest Common Divisor of 789, 687, 978, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 298, 193, 604
• GCD of 170, 185, 263, 785
• GCD of 288, 773, 642, 905
• GCD of 620, 190, 410, 543
• GCD of 961, 162, 444, 635

Given numbers are 789, 687, 978, 712
The greatest common divisor of numbers 789, 687, 978, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 687, 978, 712 is 1.

1. What is the GCD of 789, 687, 978, 712?

GCD of given numbers 789, 687, 978, 712 is 1

2. How to calculate the greatest common divisor of 789, 687, 978, 712?

We can find the highest common divisor of 789, 687, 978, 712 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 789, 687, 978, 712 i.e 1.

3. How can I use the GCD of 789, 687, 978, 712Calculator?

Out the numbers 789, 687, 978, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.