GCD of 827, 576, 420, 187 Calculator

Given Input numbers are 827, 576, 420, 187

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

GCD of numbers is the greatest common divisor

So, the GCD (827, 576, 420, 187) = 1.

Given numbers are 827, 576, 420, 187

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 187 are 11 x 17

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

Given numbers are 827, 576, 420, 187

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

Apply this formula for all numbers.

Step1:

LCM(827, 576) = 476352

GCD(827, 576) = ( 827 x 576 ) / 476352

= 827 / 576

= 827

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1

So, Greatest Common Divisor of 827, 576, 420, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 603, 737, 792
• GCD of 840, 238, 649, 279
• GCD of 890, 636, 200, 904
• GCD of 978, 417, 405, 595
• GCD of 127, 252, 138, 186

Given numbers are 827, 576, 420, 187
The greatest common divisor of numbers 827, 576, 420, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 576, 420, 187 is 1.

1. What is the GCD of 827, 576, 420, 187?

GCD of given numbers 827, 576, 420, 187 is 1

2. How to calculate the greatest common divisor of 827, 576, 420, 187?

We can find the highest common divisor of 827, 576, 420, 187 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 827, 576, 420, 187 i.e 1.

3. How can I use the GCD of 827, 576, 420, 187Calculator?

Out the numbers 827, 576, 420, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.