GCD of 369, 765, 570, 234 Calculator

Given Input numbers are 369, 765, 570, 234

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (369, 765, 570, 234) = 3.

Given numbers are 369, 765, 570, 234

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 369, 765, 570, 234 is 3.

Given numbers are 369, 765, 570, 234

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

Apply this formula for all numbers.

Step1:

LCM(369, 765) = 31365

GCD(369, 765) = ( 369 x 765 ) / 31365

= 369 / 765

= 369

Step2:

LCM(9, 570) = 1710

GCD(9, 570) = ( 9 x 570 ) / 1710

= 9 / 570

= 9

Step3:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 369, 765, 570, 234 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 898, 167, 823
• GCD of 242, 810, 477, 644
• GCD of 560, 380, 427, 617
• GCD of 372, 615, 421, 936
• GCD of 822, 608, 724, 131

Given numbers are 369, 765, 570, 234
The greatest common divisor of numbers 369, 765, 570, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 765, 570, 234 is 3.

1. What is the GCD of 369, 765, 570, 234?

GCD of given numbers 369, 765, 570, 234 is 3

2. How to calculate the greatest common divisor of 369, 765, 570, 234?

We can find the highest common divisor of 369, 765, 570, 234 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 369, 765, 570, 234 i.e 3.

3. How can I use the GCD of 369, 765, 570, 234Calculator?

Out the numbers 369, 765, 570, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.