GCD of 561, 831, 75, 228 Calculator

Given Input numbers are 561, 831, 75, 228

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 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75

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

GCD of numbers is the greatest common divisor

So, the GCD (561, 831, 75, 228) = 3.

Given numbers are 561, 831, 75, 228

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 831 are 3 x 277

Prime factors of 75 are 3 x 5 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 561, 831, 75, 228 is 3.

Given numbers are 561, 831, 75, 228

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

Apply this formula for all numbers.

Step1:

LCM(561, 831) = 155397

GCD(561, 831) = ( 561 x 831 ) / 155397

= 561 / 831

= 561

Step2:

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

= 3 / 75

= 3

Step3:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

So, Greatest Common Divisor of 561, 831, 75, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 987, 23, 838
• GCD of 765, 790, 88, 388
• GCD of 813, 993, 16, 261
• GCD of 929, 104, 16, 554
• GCD of 433, 370, 94, 388

Given numbers are 561, 831, 75, 228
The greatest common divisor of numbers 561, 831, 75, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 831, 75, 228 is 3.

1. What is the GCD of 561, 831, 75, 228?

GCD of given numbers 561, 831, 75, 228 is 3

2. How to calculate the greatest common divisor of 561, 831, 75, 228?

We can find the highest common divisor of 561, 831, 75, 228 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, 831, 75, 228 i.e 3.

3. How can I use the GCD of 561, 831, 75, 228Calculator?

Out the numbers 561, 831, 75, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.