GCD of 714, 790, 189, 966 Calculator

Given Input numbers are 714, 790, 189, 966

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (714, 790, 189, 966) = 1.

Given numbers are 714, 790, 189, 966

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 790 are 2 x 5 x 79

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 966 are 2 x 3 x 7 x 23

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

Given numbers are 714, 790, 189, 966

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

Apply this formula for all numbers.

Step1:

LCM(714, 790) = 282030

GCD(714, 790) = ( 714 x 790 ) / 282030

= 714 / 790

= 714

Step2:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

So, Greatest Common Divisor of 714, 790, 189, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 356, 856, 110
• GCD of 121, 597, 556, 118
• GCD of 903, 731, 512, 486
• GCD of 381, 330, 137, 375
• GCD of 933, 780, 462, 435

Given numbers are 714, 790, 189, 966
The greatest common divisor of numbers 714, 790, 189, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 790, 189, 966 is 1.

1. What is the GCD of 714, 790, 189, 966?

GCD of given numbers 714, 790, 189, 966 is 1

2. How to calculate the greatest common divisor of 714, 790, 189, 966?

We can find the highest common divisor of 714, 790, 189, 966 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 714, 790, 189, 966 i.e 1.

3. How can I use the GCD of 714, 790, 189, 966Calculator?

Out the numbers 714, 790, 189, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.