GCD of 789, 420, 186, 392 Calculator

Given Input numbers are 789, 420, 186, 392

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (789, 420, 186, 392) = 1.

Given numbers are 789, 420, 186, 392

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 186 are 2 x 3 x 31

Prime factors of 392 are 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 789, 420, 186, 392

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

Apply this formula for all numbers.

Step1:

LCM(789, 420) = 110460

GCD(789, 420) = ( 789 x 420 ) / 110460

= 789 / 420

= 789

Step2:

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

= 3 / 186

= 3

Step3:

LCM(3, 392) = 1176

GCD(3, 392) = ( 3 x 392 ) / 1176

= 3 / 392

= 3

So, Greatest Common Divisor of 789, 420, 186, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 897, 922, 386
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• GCD of 795, 779, 678, 163
• GCD of 471, 600, 707, 929
• GCD of 187, 183, 622, 597

Given numbers are 789, 420, 186, 392
The greatest common divisor of numbers 789, 420, 186, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 420, 186, 392 is 1.

1. What is the GCD of 789, 420, 186, 392?

GCD of given numbers 789, 420, 186, 392 is 1

2. How to calculate the greatest common divisor of 789, 420, 186, 392?

We can find the highest common divisor of 789, 420, 186, 392 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, 420, 186, 392 i.e 1.

3. How can I use the GCD of 789, 420, 186, 392Calculator?

Out the numbers 789, 420, 186, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.