GCD of 789, 914, 840, 966 Calculator

Given Input numbers are 789, 914, 840, 966

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 (789, 914, 840, 966) = 1.

Given numbers are 789, 914, 840, 966

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 914 are 2 x 457

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 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 789, 914, 840, 966

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

Apply this formula for all numbers.

Step1:

LCM(789, 914) = 721146

GCD(789, 914) = ( 789 x 914 ) / 721146

= 789 / 914

= 789

Step2:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

Step3:

LCM(1, 966) = 966

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

= 1 / 966

= 1

So, Greatest Common Divisor of 789, 914, 840, 966 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 532, 922, 225
• GCD of 776, 777, 122, 934
• GCD of 779, 761, 892, 317
• GCD of 555, 391, 409, 379
• GCD of 766, 282, 411, 469

Given numbers are 789, 914, 840, 966
The greatest common divisor of numbers 789, 914, 840, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 914, 840, 966 is 1.

1. What is the GCD of 789, 914, 840, 966?

GCD of given numbers 789, 914, 840, 966 is 1

2. How to calculate the greatest common divisor of 789, 914, 840, 966?

We can find the highest common divisor of 789, 914, 840, 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 789, 914, 840, 966 i.e 1.

3. How can I use the GCD of 789, 914, 840, 966Calculator?

Out the numbers 789, 914, 840, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.