GCD of 322, 108, 645, 838 Calculator

Given Input numbers are 322, 108, 645, 838

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (322, 108, 645, 838) = 1.

Given numbers are 322, 108, 645, 838

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 838 are 2 x 419

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

Given numbers are 322, 108, 645, 838

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

Apply this formula for all numbers.

Step1:

LCM(322, 108) = 17388

GCD(322, 108) = ( 322 x 108 ) / 17388

= 322 / 108

= 322

Step2:

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

= 2 / 645

= 2

Step3:

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

= 1 / 838

= 1

So, Greatest Common Divisor of 322, 108, 645, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 834, 620, 486
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• GCD of 794, 207, 559, 887

Given numbers are 322, 108, 645, 838
The greatest common divisor of numbers 322, 108, 645, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 108, 645, 838 is 1.

1. What is the GCD of 322, 108, 645, 838?

GCD of given numbers 322, 108, 645, 838 is 1

2. How to calculate the greatest common divisor of 322, 108, 645, 838?

We can find the highest common divisor of 322, 108, 645, 838 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 322, 108, 645, 838 i.e 1.

3. How can I use the GCD of 322, 108, 645, 838Calculator?

Out the numbers 322, 108, 645, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.