GCD of 387, 270, 423, 774 Calculator

Given Input numbers are 387, 270, 423, 774

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

Divisors of 387 :

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

1, 3, 9, 43, 129, 387

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

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 (387, 270, 423, 774) = 9.

Given numbers are 387, 270, 423, 774

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 423 are 3 x 3 x 47

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

The highest common occurrence is 3²

Therefore, GCD of 387, 270, 423, 774 is 9.

Given numbers are 387, 270, 423, 774

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

Apply this formula for all numbers.

Step1:

LCM(387, 270) = 11610

GCD(387, 270) = ( 387 x 270 ) / 11610

= 387 / 270

= 387

Step2:

LCM(9, 423) = 423

GCD(9, 423) = ( 9 x 423 ) / 423

= 9 / 423

= 9

Step3:

LCM(9, 774) = 774

GCD(9, 774) = ( 9 x 774 ) / 774

= 9 / 774

= 9

So, Greatest Common Divisor of 387, 270, 423, 774 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 710, 609, 768
• GCD of 240, 934, 195, 874
• GCD of 505, 124, 957, 610
• GCD of 974, 283, 899, 517
• GCD of 620, 586, 869, 455

Given numbers are 387, 270, 423, 774
The greatest common divisor of numbers 387, 270, 423, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 270, 423, 774 is 9.

1. What is the GCD of 387, 270, 423, 774?

GCD of given numbers 387, 270, 423, 774 is 9

2. How to calculate the greatest common divisor of 387, 270, 423, 774?

We can find the highest common divisor of 387, 270, 423, 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 387, 270, 423, 774 i.e 9.

3. How can I use the GCD of 387, 270, 423, 774Calculator?

Out the numbers 387, 270, 423, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.