GCD of 108, 374, 205, 144 Calculator

Given Input numbers are 108, 374, 205, 144

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (108, 374, 205, 144) = 1.

Given numbers are 108, 374, 205, 144

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 374 are 2 x 11 x 17

Prime factors of 205 are 5 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 108, 374, 205, 144

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

Apply this formula for all numbers.

Step1:

LCM(108, 374) = 20196

GCD(108, 374) = ( 108 x 374 ) / 20196

= 108 / 374

= 108

Step2:

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

= 2 / 205

= 2

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 108, 374, 205, 144 is 1

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Given numbers are 108, 374, 205, 144
The greatest common divisor of numbers 108, 374, 205, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 374, 205, 144 is 1.

1. What is the GCD of 108, 374, 205, 144?

GCD of given numbers 108, 374, 205, 144 is 1

2. How to calculate the greatest common divisor of 108, 374, 205, 144?

We can find the highest common divisor of 108, 374, 205, 144 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, 374, 205, 144 i.e 1.

3. How can I use the GCD of 108, 374, 205, 144Calculator?

Out the numbers 108, 374, 205, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.