GCD of 561, 189, 521, 827 Calculator

Given Input numbers are 561, 189, 521, 827

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 827 :

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

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (561, 189, 521, 827) = 1.

Given numbers are 561, 189, 521, 827

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 521 are 521

Prime factors of 827 are 827

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

Given numbers are 561, 189, 521, 827

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

Apply this formula for all numbers.

Step1:

LCM(561, 189) = 35343

GCD(561, 189) = ( 561 x 189 ) / 35343

= 561 / 189

= 561

Step2:

LCM(3, 521) = 1563

GCD(3, 521) = ( 3 x 521 ) / 1563

= 3 / 521

= 3

Step3:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

So, Greatest Common Divisor of 561, 189, 521, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 341, 940, 600
• GCD of 261, 275, 283, 444
• GCD of 692, 116, 992, 379
• GCD of 901, 934, 537, 606
• GCD of 888, 260, 650, 961

Given numbers are 561, 189, 521, 827
The greatest common divisor of numbers 561, 189, 521, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 189, 521, 827 is 1.

1. What is the GCD of 561, 189, 521, 827?

GCD of given numbers 561, 189, 521, 827 is 1

2. How to calculate the greatest common divisor of 561, 189, 521, 827?

We can find the highest common divisor of 561, 189, 521, 827 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 561, 189, 521, 827 i.e 1.

3. How can I use the GCD of 561, 189, 521, 827Calculator?

Out the numbers 561, 189, 521, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.