GCD of 825, 272, 337, 204 Calculator

Given Input numbers are 825, 272, 337, 204

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 337 :

The positive integer divisors of 337 that completely divides 337 are.

1, 337

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 (825, 272, 337, 204) = 1.

Given numbers are 825, 272, 337, 204

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 337 are 337

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 825, 272, 337, 204

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

Apply this formula for all numbers.

Step1:

LCM(825, 272) = 224400

GCD(825, 272) = ( 825 x 272 ) / 224400

= 825 / 272

= 825

Step2:

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

= 1 / 337

= 1

Step3:

LCM(1, 204) = 204

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

= 1 / 204

= 1

So, Greatest Common Divisor of 825, 272, 337, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 332, 827, 940
• GCD of 622, 302, 508, 301
• GCD of 424, 655, 537, 903
• GCD of 196, 863, 955, 713
• GCD of 474, 337, 880, 812

Given numbers are 825, 272, 337, 204
The greatest common divisor of numbers 825, 272, 337, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 272, 337, 204 is 1.

1. What is the GCD of 825, 272, 337, 204?

GCD of given numbers 825, 272, 337, 204 is 1

2. How to calculate the greatest common divisor of 825, 272, 337, 204?

We can find the highest common divisor of 825, 272, 337, 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 825, 272, 337, 204 i.e 1.

3. How can I use the GCD of 825, 272, 337, 204Calculator?

Out the numbers 825, 272, 337, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.