GCD of 111, 390, 774 Calculator

Given Input numbers are 111, 390, 774

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

Divisors of 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (111, 390, 774) = 3.

Given numbers are 111, 390, 774

The list of prime factors of all numbers are

Prime factors of 111 are 3 x 37

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 3¹

Therefore, GCD of 111, 390, 774 is 3.

Given numbers are 111, 390, 774

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

Apply this formula for all numbers.

Step1:

LCM(111, 390) = 14430

GCD(111, 390) = ( 111 x 390 ) / 14430

= 111 / 390

= 111

Step2:

LCM(3, 774) = 774

GCD(3, 774) = ( 3 x 774 ) / 774

= 3 / 774

= 3

So, Greatest Common Divisor of 111, 390, 774 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 192, 300
• GCD of 769, 239, 360
• GCD of 157, 671, 998
• GCD of 488, 537, 570
• GCD of 870, 842, 916

Given numbers are 111, 390, 774
The greatest common divisor of numbers 111, 390, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 390, 774 is 3.

1. What is the GCD of 111, 390, 774?

GCD of given numbers 111, 390, 774 is 3

2. How to calculate the greatest common divisor of 111, 390, 774?

We can find the highest common divisor of 111, 390, 774 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 111, 390, 774 i.e 3.

3. How can I use the GCD of 111, 390, 774Calculator?

Out the numbers 111, 390, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.