GCD of 309, 747, 908, 422 Calculator

Given Input numbers are 309, 747, 908, 422

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (309, 747, 908, 422) = 1.

Given numbers are 309, 747, 908, 422

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 747 are 3 x 3 x 83

Prime factors of 908 are 2 x 2 x 227

Prime factors of 422 are 2 x 211

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

Given numbers are 309, 747, 908, 422

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

Apply this formula for all numbers.

Step1:

LCM(309, 747) = 76941

GCD(309, 747) = ( 309 x 747 ) / 76941

= 309 / 747

= 309

Step2:

LCM(3, 908) = 2724

GCD(3, 908) = ( 3 x 908 ) / 2724

= 3 / 908

= 3

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 309, 747, 908, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 556, 266, 147
• GCD of 808, 395, 745, 396
• GCD of 177, 132, 178, 412
• GCD of 263, 838, 186, 384
• GCD of 138, 938, 344, 746

Given numbers are 309, 747, 908, 422
The greatest common divisor of numbers 309, 747, 908, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 747, 908, 422 is 1.

1. What is the GCD of 309, 747, 908, 422?

GCD of given numbers 309, 747, 908, 422 is 1

2. How to calculate the greatest common divisor of 309, 747, 908, 422?

We can find the highest common divisor of 309, 747, 908, 422 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 309, 747, 908, 422 i.e 1.

3. How can I use the GCD of 309, 747, 908, 422Calculator?

Out the numbers 309, 747, 908, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.