GCD of 122, 704, 108, 309 Calculator

Given Input numbers are 122, 704, 108, 309

In the factoring method, we have to find the divisors of all numbers

Divisors of 122 :

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

1, 2, 61, 122

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (122, 704, 108, 309) = 1.

Given numbers are 122, 704, 108, 309

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 309 are 3 x 103

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

Given numbers are 122, 704, 108, 309

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

Apply this formula for all numbers.

Step1:

LCM(122, 704) = 42944

GCD(122, 704) = ( 122 x 704 ) / 42944

= 122 / 704

= 122

Step2:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 122, 704, 108, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 622, 385, 147
• GCD of 119, 672, 818, 454
• GCD of 185, 218, 771, 730
• GCD of 387, 891, 174, 877
• GCD of 915, 170, 466, 332

Given numbers are 122, 704, 108, 309
The greatest common divisor of numbers 122, 704, 108, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 704, 108, 309 is 1.

1. What is the GCD of 122, 704, 108, 309?

GCD of given numbers 122, 704, 108, 309 is 1

2. How to calculate the greatest common divisor of 122, 704, 108, 309?

We can find the highest common divisor of 122, 704, 108, 309 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 122, 704, 108, 309 i.e 1.

3. How can I use the GCD of 122, 704, 108, 309Calculator?

Out the numbers 122, 704, 108, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.