GCD of 792, 420, 387, 789 Calculator

Given Input numbers are 792, 420, 387, 789

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 789 :

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

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (792, 420, 387, 789) = 3.

Given numbers are 792, 420, 387, 789

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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

Prime factors of 387 are 3 x 3 x 43

Prime factors of 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 792, 420, 387, 789 is 3.

Given numbers are 792, 420, 387, 789

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

Apply this formula for all numbers.

Step1:

LCM(792, 420) = 27720

GCD(792, 420) = ( 792 x 420 ) / 27720

= 792 / 420

= 792

Step2:

LCM(12, 387) = 1548

GCD(12, 387) = ( 12 x 387 ) / 1548

= 12 / 387

= 12

Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

So, Greatest Common Divisor of 792, 420, 387, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 158, 710, 253
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• GCD of 907, 376, 277, 411
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• GCD of 906, 457, 301, 693

Given numbers are 792, 420, 387, 789
The greatest common divisor of numbers 792, 420, 387, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 420, 387, 789 is 3.

1. What is the GCD of 792, 420, 387, 789?

GCD of given numbers 792, 420, 387, 789 is 3

2. How to calculate the greatest common divisor of 792, 420, 387, 789?

We can find the highest common divisor of 792, 420, 387, 789 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 792, 420, 387, 789 i.e 3.

3. How can I use the GCD of 792, 420, 387, 789Calculator?

Out the numbers 792, 420, 387, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.