GCD of 108, 369, 126, 122 Calculator

Given Input numbers are 108, 369, 126, 122

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 122 :

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

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (108, 369, 126, 122) = 1.

Given numbers are 108, 369, 126, 122

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 369 are 3 x 3 x 41

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 122 are 2 x 61

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

Given numbers are 108, 369, 126, 122

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

Apply this formula for all numbers.

Step1:

LCM(108, 369) = 4428

GCD(108, 369) = ( 108 x 369 ) / 4428

= 108 / 369

= 108

Step2:

LCM(9, 126) = 126

GCD(9, 126) = ( 9 x 126 ) / 126

= 9 / 126

= 9

Step3:

LCM(9, 122) = 1098

GCD(9, 122) = ( 9 x 122 ) / 1098

= 9 / 122

= 9

So, Greatest Common Divisor of 108, 369, 126, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 995, 959, 608
• GCD of 297, 150, 263, 146
• GCD of 598, 957, 642, 447
• GCD of 996, 242, 244, 672
• GCD of 192, 181, 744, 953

Given numbers are 108, 369, 126, 122
The greatest common divisor of numbers 108, 369, 126, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 369, 126, 122 is 1.

1. What is the GCD of 108, 369, 126, 122?

GCD of given numbers 108, 369, 126, 122 is 1

2. How to calculate the greatest common divisor of 108, 369, 126, 122?

We can find the highest common divisor of 108, 369, 126, 122 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, 369, 126, 122 i.e 1.

3. How can I use the GCD of 108, 369, 126, 122Calculator?

Out the numbers 108, 369, 126, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.