GCD of 228, 996, 696, 894 Calculator

Given Input numbers are 228, 996, 696, 894

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

GCD of numbers is the greatest common divisor

So, the GCD (228, 996, 696, 894) = 6.

Given numbers are 228, 996, 696, 894

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 894 are 2 x 3 x 149

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 228, 996, 696, 894 is 6.

Given numbers are 228, 996, 696, 894

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

Apply this formula for all numbers.

Step1:

LCM(228, 996) = 18924

GCD(228, 996) = ( 228 x 996 ) / 18924

= 228 / 996

= 228

Step2:

LCM(12, 696) = 696

GCD(12, 696) = ( 12 x 696 ) / 696

= 12 / 696

= 12

Step3:

LCM(12, 894) = 1788

GCD(12, 894) = ( 12 x 894 ) / 1788

= 12 / 894

= 12

So, Greatest Common Divisor of 228, 996, 696, 894 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 981, 568, 420
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Given numbers are 228, 996, 696, 894
The greatest common divisor of numbers 228, 996, 696, 894 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 996, 696, 894 is 6.

1. What is the GCD of 228, 996, 696, 894?

GCD of given numbers 228, 996, 696, 894 is 6

2. How to calculate the greatest common divisor of 228, 996, 696, 894?

We can find the highest common divisor of 228, 996, 696, 894 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, 996, 696, 894 i.e 6.

3. How can I use the GCD of 228, 996, 696, 894Calculator?

Out the numbers 228, 996, 696, 894 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.