GCD of 507, 228, 789, 561 Calculator

Given Input numbers are 507, 228, 789, 561

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

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

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 (507, 228, 789, 561) = 3.

Given numbers are 507, 228, 789, 561

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 789 are 3 x 263

Prime factors of 561 are 3 x 11 x 17

The highest common occurrence is 3¹

Therefore, GCD of 507, 228, 789, 561 is 3.

Given numbers are 507, 228, 789, 561

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

Apply this formula for all numbers.

Step1:

LCM(507, 228) = 38532

GCD(507, 228) = ( 507 x 228 ) / 38532

= 507 / 228

= 507

Step2:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

Step3:

LCM(3, 561) = 561

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

= 3 / 561

= 3

So, Greatest Common Divisor of 507, 228, 789, 561 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 661, 478, 255
• GCD of 846, 341, 132, 828
• GCD of 269, 187, 330, 595
• GCD of 264, 749, 671, 808
• GCD of 500, 574, 229, 826

Given numbers are 507, 228, 789, 561
The greatest common divisor of numbers 507, 228, 789, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 228, 789, 561 is 3.

1. What is the GCD of 507, 228, 789, 561?

GCD of given numbers 507, 228, 789, 561 is 3

2. How to calculate the greatest common divisor of 507, 228, 789, 561?

We can find the highest common divisor of 507, 228, 789, 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 507, 228, 789, 561 i.e 3.

3. How can I use the GCD of 507, 228, 789, 561Calculator?

Out the numbers 507, 228, 789, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.