GCD of 609, 351, 474, 228 Calculator

Given Input numbers are 609, 351, 474, 228

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (609, 351, 474, 228) = 3.

Given numbers are 609, 351, 474, 228

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 3¹

Therefore, GCD of 609, 351, 474, 228 is 3.

Given numbers are 609, 351, 474, 228

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

Apply this formula for all numbers.

Step1:

LCM(609, 351) = 71253

GCD(609, 351) = ( 609 x 351 ) / 71253

= 609 / 351

= 609

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 228) = 228

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

= 3 / 228

= 3

So, Greatest Common Divisor of 609, 351, 474, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 183, 544, 410
• GCD of 273, 673, 738, 655
• GCD of 865, 227, 781, 847
• GCD of 292, 907, 801, 389
• GCD of 891, 902, 316, 157

Given numbers are 609, 351, 474, 228
The greatest common divisor of numbers 609, 351, 474, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 351, 474, 228 is 3.

1. What is the GCD of 609, 351, 474, 228?

GCD of given numbers 609, 351, 474, 228 is 3

2. How to calculate the greatest common divisor of 609, 351, 474, 228?

We can find the highest common divisor of 609, 351, 474, 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 609, 351, 474, 228 i.e 3.

3. How can I use the GCD of 609, 351, 474, 228Calculator?

Out the numbers 609, 351, 474, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.