GCD of 561, 369, 818, 828 Calculator

Given Input numbers are 561, 369, 818, 828

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (561, 369, 818, 828) = 1.

Given numbers are 561, 369, 818, 828

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 369 are 3 x 3 x 41

Prime factors of 818 are 2 x 409

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 561, 369, 818, 828

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

Apply this formula for all numbers.

Step1:

LCM(561, 369) = 69003

GCD(561, 369) = ( 561 x 369 ) / 69003

= 561 / 369

= 561

Step2:

LCM(3, 818) = 2454

GCD(3, 818) = ( 3 x 818 ) / 2454

= 3 / 818

= 3

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 561, 369, 818, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 243, 532, 443
• GCD of 352, 489, 719, 327
• GCD of 706, 139, 599, 798
• GCD of 907, 367, 907, 212
• GCD of 717, 437, 224, 787

Given numbers are 561, 369, 818, 828
The greatest common divisor of numbers 561, 369, 818, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 369, 818, 828 is 1.

1. What is the GCD of 561, 369, 818, 828?

GCD of given numbers 561, 369, 818, 828 is 1

2. How to calculate the greatest common divisor of 561, 369, 818, 828?

We can find the highest common divisor of 561, 369, 818, 828 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, 369, 818, 828 i.e 1.

3. How can I use the GCD of 561, 369, 818, 828Calculator?

Out the numbers 561, 369, 818, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.