GCD of 512, 375, 842, 204 Calculator

Given Input numbers are 512, 375, 842, 204

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

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

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 (512, 375, 842, 204) = 1.

Given numbers are 512, 375, 842, 204

The list of prime factors of all numbers are

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 842 are 2 x 421

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 512, 375, 842, 204

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

Apply this formula for all numbers.

Step1:

LCM(512, 375) = 192000

GCD(512, 375) = ( 512 x 375 ) / 192000

= 512 / 375

= 512

Step2:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

Step3:

LCM(1, 204) = 204

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

= 1 / 204

= 1

So, Greatest Common Divisor of 512, 375, 842, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 727, 172, 132
• GCD of 313, 951, 181, 709
• GCD of 728, 644, 294, 139
• GCD of 985, 922, 310, 284
• GCD of 420, 138, 970, 699

Given numbers are 512, 375, 842, 204
The greatest common divisor of numbers 512, 375, 842, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 375, 842, 204 is 1.

1. What is the GCD of 512, 375, 842, 204?

GCD of given numbers 512, 375, 842, 204 is 1

2. How to calculate the greatest common divisor of 512, 375, 842, 204?

We can find the highest common divisor of 512, 375, 842, 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 512, 375, 842, 204 i.e 1.

3. How can I use the GCD of 512, 375, 842, 204Calculator?

Out the numbers 512, 375, 842, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.