GCD of 108, 122, 136, 194 Calculator

Given Input numbers are 108, 122, 136, 194

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

GCD of numbers is the greatest common divisor

So, the GCD (108, 122, 136, 194) = 2.

Given numbers are 108, 122, 136, 194

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 122 are 2 x 61

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 194 are 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 108, 122, 136, 194 is 2.

Given numbers are 108, 122, 136, 194

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

Apply this formula for all numbers.

Step1:

LCM(108, 122) = 6588

GCD(108, 122) = ( 108 x 122 ) / 6588

= 108 / 122

= 108

Step2:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

Step3:

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

= 2 / 194

= 2

So, Greatest Common Divisor of 108, 122, 136, 194 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 829, 675, 296
• GCD of 780, 493, 129, 794
• GCD of 508, 248, 546, 854
• GCD of 893, 338, 105, 903
• GCD of 328, 140, 730, 626

Given numbers are 108, 122, 136, 194
The greatest common divisor of numbers 108, 122, 136, 194 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 122, 136, 194 is 2.

1. What is the GCD of 108, 122, 136, 194?

GCD of given numbers 108, 122, 136, 194 is 2

2. How to calculate the greatest common divisor of 108, 122, 136, 194?

We can find the highest common divisor of 108, 122, 136, 194 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, 122, 136, 194 i.e 2.

3. How can I use the GCD of 108, 122, 136, 194Calculator?

Out the numbers 108, 122, 136, 194 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.