GCD of 108, 100, 404, 344 Calculator

Given Input numbers are 108, 100, 404, 344

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (108, 100, 404, 344) = 4.

Given numbers are 108, 100, 404, 344

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 100 are 2 x 2 x 5 x 5

Prime factors of 404 are 2 x 2 x 101

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 108, 100, 404, 344 is 4.

Given numbers are 108, 100, 404, 344

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

Apply this formula for all numbers.

Step1:

LCM(108, 100) = 2700

GCD(108, 100) = ( 108 x 100 ) / 2700

= 108 / 100

= 108

Step2:

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

= 4 / 404

= 4

Step3:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

So, Greatest Common Divisor of 108, 100, 404, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 897, 395, 362
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Given numbers are 108, 100, 404, 344
The greatest common divisor of numbers 108, 100, 404, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 100, 404, 344 is 4.

1. What is the GCD of 108, 100, 404, 344?

GCD of given numbers 108, 100, 404, 344 is 4

2. How to calculate the greatest common divisor of 108, 100, 404, 344?

We can find the highest common divisor of 108, 100, 404, 344 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, 100, 404, 344 i.e 4.

3. How can I use the GCD of 108, 100, 404, 344Calculator?

Out the numbers 108, 100, 404, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.