GCD of 561, 822, 936, 798 Calculator

Given Input numbers are 561, 822, 936, 798

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (561, 822, 936, 798) = 3.

Given numbers are 561, 822, 936, 798

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 822 are 2 x 3 x 137

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 561, 822, 936, 798 is 3.

Given numbers are 561, 822, 936, 798

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

Apply this formula for all numbers.

Step1:

LCM(561, 822) = 153714

GCD(561, 822) = ( 561 x 822 ) / 153714

= 561 / 822

= 561

Step2:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

Step3:

LCM(3, 798) = 798

GCD(3, 798) = ( 3 x 798 ) / 798

= 3 / 798

= 3

So, Greatest Common Divisor of 561, 822, 936, 798 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 587, 563, 694
• GCD of 825, 568, 252, 134
• GCD of 542, 523, 390, 763
• GCD of 893, 256, 963, 607
• GCD of 640, 509, 386, 812

Given numbers are 561, 822, 936, 798
The greatest common divisor of numbers 561, 822, 936, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 822, 936, 798 is 3.

1. What is the GCD of 561, 822, 936, 798?

GCD of given numbers 561, 822, 936, 798 is 3

2. How to calculate the greatest common divisor of 561, 822, 936, 798?

We can find the highest common divisor of 561, 822, 936, 798 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, 822, 936, 798 i.e 3.

3. How can I use the GCD of 561, 822, 936, 798Calculator?

Out the numbers 561, 822, 936, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.