GCD of 228, 483, 759, 918 Calculator

Given Input numbers are 228, 483, 759, 918

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

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 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (228, 483, 759, 918) = 3.

Given numbers are 228, 483, 759, 918

The list of prime factors of all numbers are

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

Prime factors of 483 are 3 x 7 x 23

Prime factors of 759 are 3 x 11 x 23

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 228, 483, 759, 918 is 3.

Given numbers are 228, 483, 759, 918

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

Apply this formula for all numbers.

Step1:

LCM(228, 483) = 36708

GCD(228, 483) = ( 228 x 483 ) / 36708

= 228 / 483

= 228

Step2:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

Step3:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

So, Greatest Common Divisor of 228, 483, 759, 918 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 319, 122, 787
• GCD of 198, 478, 708, 596
• GCD of 336, 880, 136, 927
• GCD of 255, 805, 304, 969
• GCD of 386, 840, 569, 514

Given numbers are 228, 483, 759, 918
The greatest common divisor of numbers 228, 483, 759, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 483, 759, 918 is 3.

1. What is the GCD of 228, 483, 759, 918?

GCD of given numbers 228, 483, 759, 918 is 3

2. How to calculate the greatest common divisor of 228, 483, 759, 918?

We can find the highest common divisor of 228, 483, 759, 918 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 228, 483, 759, 918 i.e 3.

3. How can I use the GCD of 228, 483, 759, 918Calculator?

Out the numbers 228, 483, 759, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.