GCD of 789, 258, 333, 120 Calculator

Given Input numbers are 789, 258, 333, 120

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 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (789, 258, 333, 120) = 3.

Given numbers are 789, 258, 333, 120

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 258 are 2 x 3 x 43

Prime factors of 333 are 3 x 3 x 37

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 789, 258, 333, 120 is 3.

Given numbers are 789, 258, 333, 120

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

Apply this formula for all numbers.

Step1:

LCM(789, 258) = 67854

GCD(789, 258) = ( 789 x 258 ) / 67854

= 789 / 258

= 789

Step2:

LCM(3, 333) = 333

GCD(3, 333) = ( 3 x 333 ) / 333

= 3 / 333

= 3

Step3:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

So, Greatest Common Divisor of 789, 258, 333, 120 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 833, 602, 270
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• GCD of 239, 449, 649, 684

Given numbers are 789, 258, 333, 120
The greatest common divisor of numbers 789, 258, 333, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 258, 333, 120 is 3.

1. What is the GCD of 789, 258, 333, 120?

GCD of given numbers 789, 258, 333, 120 is 3

2. How to calculate the greatest common divisor of 789, 258, 333, 120?

We can find the highest common divisor of 789, 258, 333, 120 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, 258, 333, 120 i.e 3.

3. How can I use the GCD of 789, 258, 333, 120Calculator?

Out the numbers 789, 258, 333, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.