GCD of 228, 844, 984, 208 Calculator

Given Input numbers are 228, 844, 984, 208

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 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (228, 844, 984, 208) = 4.

Given numbers are 228, 844, 984, 208

The list of prime factors of all numbers are

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

Prime factors of 844 are 2 x 2 x 211

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 228, 844, 984, 208 is 4.

Given numbers are 228, 844, 984, 208

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

Apply this formula for all numbers.

Step1:

LCM(228, 844) = 48108

GCD(228, 844) = ( 228 x 844 ) / 48108

= 228 / 844

= 228

Step2:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

Step3:

LCM(4, 208) = 208

GCD(4, 208) = ( 4 x 208 ) / 208

= 4 / 208

= 4

So, Greatest Common Divisor of 228, 844, 984, 208 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 889, 381, 726
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• GCD of 589, 937, 268, 777
• GCD of 679, 218, 153, 526

Given numbers are 228, 844, 984, 208
The greatest common divisor of numbers 228, 844, 984, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 844, 984, 208 is 4.

1. What is the GCD of 228, 844, 984, 208?

GCD of given numbers 228, 844, 984, 208 is 4

2. How to calculate the greatest common divisor of 228, 844, 984, 208?

We can find the highest common divisor of 228, 844, 984, 208 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, 844, 984, 208 i.e 4.

3. How can I use the GCD of 228, 844, 984, 208Calculator?

Out the numbers 228, 844, 984, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.