GCD of 815, 428, 972, 204 Calculator

Given Input numbers are 815, 428, 972, 204

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

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (815, 428, 972, 204) = 1.

Given numbers are 815, 428, 972, 204

The list of prime factors of all numbers are

Prime factors of 815 are 5 x 163

Prime factors of 428 are 2 x 2 x 107

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 204 are 2 x 2 x 3 x 17

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

Given numbers are 815, 428, 972, 204

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

Apply this formula for all numbers.

Step1:

LCM(815, 428) = 348820

GCD(815, 428) = ( 815 x 428 ) / 348820

= 815 / 428

= 815

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 815, 428, 972, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 846, 387, 438
• GCD of 140, 558, 211, 607
• GCD of 504, 949, 475, 772
• GCD of 467, 967, 194, 215
• GCD of 714, 127, 988, 358

Given numbers are 815, 428, 972, 204
The greatest common divisor of numbers 815, 428, 972, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 815, 428, 972, 204 is 1.

1. What is the GCD of 815, 428, 972, 204?

GCD of given numbers 815, 428, 972, 204 is 1

2. How to calculate the greatest common divisor of 815, 428, 972, 204?

We can find the highest common divisor of 815, 428, 972, 204 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 815, 428, 972, 204 i.e 1.

3. How can I use the GCD of 815, 428, 972, 204Calculator?

Out the numbers 815, 428, 972, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.