GCD of 465, 108, 504, 228 Calculator

Given Input numbers are 465, 108, 504, 228

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 (465, 108, 504, 228) = 3.

Given numbers are 465, 108, 504, 228

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 465, 108, 504, 228 is 3.

Given numbers are 465, 108, 504, 228

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

Apply this formula for all numbers.

Step1:

LCM(465, 108) = 16740

GCD(465, 108) = ( 465 x 108 ) / 16740

= 465 / 108

= 465

Step2:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

Step3:

LCM(3, 228) = 228

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

= 3 / 228

= 3

So, Greatest Common Divisor of 465, 108, 504, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 203, 246, 518
• GCD of 128, 796, 736, 446
• GCD of 538, 381, 770, 331
• GCD of 157, 694, 948, 277
• GCD of 934, 938, 206, 534

Given numbers are 465, 108, 504, 228
The greatest common divisor of numbers 465, 108, 504, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 108, 504, 228 is 3.

1. What is the GCD of 465, 108, 504, 228?

GCD of given numbers 465, 108, 504, 228 is 3

2. How to calculate the greatest common divisor of 465, 108, 504, 228?

We can find the highest common divisor of 465, 108, 504, 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 465, 108, 504, 228 i.e 3.

3. How can I use the GCD of 465, 108, 504, 228Calculator?

Out the numbers 465, 108, 504, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.