GCD of 108, 820, 626, 345 Calculator

Given Input numbers are 108, 820, 626, 345

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (108, 820, 626, 345) = 1.

Given numbers are 108, 820, 626, 345

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 820 are 2 x 2 x 5 x 41

Prime factors of 626 are 2 x 313

Prime factors of 345 are 3 x 5 x 23

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

Given numbers are 108, 820, 626, 345

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

Apply this formula for all numbers.

Step1:

LCM(108, 820) = 22140

GCD(108, 820) = ( 108 x 820 ) / 22140

= 108 / 820

= 108

Step2:

LCM(4, 626) = 1252

GCD(4, 626) = ( 4 x 626 ) / 1252

= 4 / 626

= 4

Step3:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

So, Greatest Common Divisor of 108, 820, 626, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 462, 379, 182
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• GCD of 919, 854, 738, 314
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• GCD of 315, 150, 479, 417

Given numbers are 108, 820, 626, 345
The greatest common divisor of numbers 108, 820, 626, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 820, 626, 345 is 1.

1. What is the GCD of 108, 820, 626, 345?

GCD of given numbers 108, 820, 626, 345 is 1

2. How to calculate the greatest common divisor of 108, 820, 626, 345?

We can find the highest common divisor of 108, 820, 626, 345 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, 820, 626, 345 i.e 1.

3. How can I use the GCD of 108, 820, 626, 345Calculator?

Out the numbers 108, 820, 626, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.