GCD of 636, 813, 705, 561 Calculator

Given Input numbers are 636, 813, 705, 561

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 561 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (636, 813, 705, 561) = 3.

Given numbers are 636, 813, 705, 561

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 813 are 3 x 271

Prime factors of 705 are 3 x 5 x 47

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 636, 813, 705, 561 is 3.

Given numbers are 636, 813, 705, 561

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

Apply this formula for all numbers.

Step1:

LCM(636, 813) = 172356

GCD(636, 813) = ( 636 x 813 ) / 172356

= 636 / 813

= 636

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

So, Greatest Common Divisor of 636, 813, 705, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 279, 899, 431
• GCD of 169, 167, 230, 615
• GCD of 160, 913, 189, 364
• GCD of 792, 531, 699, 379
• GCD of 754, 564, 759, 614

Given numbers are 636, 813, 705, 561
The greatest common divisor of numbers 636, 813, 705, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 813, 705, 561 is 3.

1. What is the GCD of 636, 813, 705, 561?

GCD of given numbers 636, 813, 705, 561 is 3

2. How to calculate the greatest common divisor of 636, 813, 705, 561?

We can find the highest common divisor of 636, 813, 705, 561 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 636, 813, 705, 561 i.e 3.

3. How can I use the GCD of 636, 813, 705, 561Calculator?

Out the numbers 636, 813, 705, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.