GCD of 108, 765, 378, 230 Calculator

Given Input numbers are 108, 765, 378, 230

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

GCD of numbers is the greatest common divisor

So, the GCD (108, 765, 378, 230) = 1.

Given numbers are 108, 765, 378, 230

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 230 are 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 108, 765, 378, 230

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

Apply this formula for all numbers.

Step1:

LCM(108, 765) = 9180

GCD(108, 765) = ( 108 x 765 ) / 9180

= 108 / 765

= 108

Step2:

LCM(9, 378) = 378

GCD(9, 378) = ( 9 x 378 ) / 378

= 9 / 378

= 9

Step3:

LCM(9, 230) = 2070

GCD(9, 230) = ( 9 x 230 ) / 2070

= 9 / 230

= 9

So, Greatest Common Divisor of 108, 765, 378, 230 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 261, 181, 341
• GCD of 841, 677, 689, 280
• GCD of 530, 526, 137, 647
• GCD of 208, 647, 665, 439
• GCD of 524, 976, 325, 383

Given numbers are 108, 765, 378, 230
The greatest common divisor of numbers 108, 765, 378, 230 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 765, 378, 230 is 1.

1. What is the GCD of 108, 765, 378, 230?

GCD of given numbers 108, 765, 378, 230 is 1

2. How to calculate the greatest common divisor of 108, 765, 378, 230?

We can find the highest common divisor of 108, 765, 378, 230 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 108, 765, 378, 230 i.e 1.

3. How can I use the GCD of 108, 765, 378, 230Calculator?

Out the numbers 108, 765, 378, 230 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.