GCD of 849, 471, 339, 228 Calculator

Given Input numbers are 849, 471, 339, 228

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

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 (849, 471, 339, 228) = 3.

Given numbers are 849, 471, 339, 228

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 471 are 3 x 157

Prime factors of 339 are 3 x 113

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

The highest common occurrence is 3¹

Therefore, GCD of 849, 471, 339, 228 is 3.

Given numbers are 849, 471, 339, 228

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

Apply this formula for all numbers.

Step1:

LCM(849, 471) = 133293

GCD(849, 471) = ( 849 x 471 ) / 133293

= 849 / 471

= 849

Step2:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3

Step3:

LCM(3, 228) = 228

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

= 3 / 228

= 3

So, Greatest Common Divisor of 849, 471, 339, 228 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 884, 551, 659
• GCD of 419, 170, 144, 259
• GCD of 990, 283, 329, 135
• GCD of 137, 730, 242, 471
• GCD of 865, 797, 626, 170

Given numbers are 849, 471, 339, 228
The greatest common divisor of numbers 849, 471, 339, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 471, 339, 228 is 3.

1. What is the GCD of 849, 471, 339, 228?

GCD of given numbers 849, 471, 339, 228 is 3

2. How to calculate the greatest common divisor of 849, 471, 339, 228?

We can find the highest common divisor of 849, 471, 339, 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 849, 471, 339, 228 i.e 3.

3. How can I use the GCD of 849, 471, 339, 228Calculator?

Out the numbers 849, 471, 339, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.