GCD of 390, 109, 823 Calculator

Given Input numbers are 390, 109, 823

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

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 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (390, 109, 823) = 1.

Given numbers are 390, 109, 823

The list of prime factors of all numbers are

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

Prime factors of 109 are 109

Prime factors of 823 are 823

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

Given numbers are 390, 109, 823

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

Apply this formula for all numbers.

Step1:

LCM(390, 109) = 42510

GCD(390, 109) = ( 390 x 109 ) / 42510

= 390 / 109

= 390

Step2:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 390, 109, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 510, 101
• GCD of 325, 572, 116
• GCD of 541, 196, 194
• GCD of 471, 252, 413
• GCD of 921, 650, 630

Given numbers are 390, 109, 823
The greatest common divisor of numbers 390, 109, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 109, 823 is 1.

1. What is the GCD of 390, 109, 823?

GCD of given numbers 390, 109, 823 is 1

2. How to calculate the greatest common divisor of 390, 109, 823?

We can find the highest common divisor of 390, 109, 823 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 390, 109, 823 i.e 1.

3. How can I use the GCD of 390, 109, 823Calculator?

Out the numbers 390, 109, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.