GCD of 816, 309, 122, 428 Calculator

Given Input numbers are 816, 309, 122, 428

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 122 :

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

1, 2, 61, 122

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (816, 309, 122, 428) = 1.

Given numbers are 816, 309, 122, 428

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 309 are 3 x 103

Prime factors of 122 are 2 x 61

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 816, 309, 122, 428

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

Apply this formula for all numbers.

Step1:

LCM(816, 309) = 84048

GCD(816, 309) = ( 816 x 309 ) / 84048

= 816 / 309

= 816

Step2:

LCM(3, 122) = 366

GCD(3, 122) = ( 3 x 122 ) / 366

= 3 / 122

= 3

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 816, 309, 122, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 943, 929, 524
• GCD of 335, 276, 763, 372
• GCD of 526, 948, 665, 130
• GCD of 999, 607, 753, 242
• GCD of 530, 880, 778, 360

Given numbers are 816, 309, 122, 428
The greatest common divisor of numbers 816, 309, 122, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 309, 122, 428 is 1.

1. What is the GCD of 816, 309, 122, 428?

GCD of given numbers 816, 309, 122, 428 is 1

2. How to calculate the greatest common divisor of 816, 309, 122, 428?

We can find the highest common divisor of 816, 309, 122, 428 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 816, 309, 122, 428 i.e 1.

3. How can I use the GCD of 816, 309, 122, 428Calculator?

Out the numbers 816, 309, 122, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.