GCD of 228, 756, 438, 802 Calculator

Given Input numbers are 228, 756, 438, 802

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (228, 756, 438, 802) = 2.

Given numbers are 228, 756, 438, 802

The list of prime factors of all numbers are

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 438 are 2 x 3 x 73

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 228, 756, 438, 802 is 2.

Given numbers are 228, 756, 438, 802

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

Apply this formula for all numbers.

Step1:

LCM(228, 756) = 14364

GCD(228, 756) = ( 228 x 756 ) / 14364

= 228 / 756

= 228

Step2:

LCM(12, 438) = 876

GCD(12, 438) = ( 12 x 438 ) / 876

= 12 / 438

= 12

Step3:

LCM(6, 802) = 2406

GCD(6, 802) = ( 6 x 802 ) / 2406

= 6 / 802

= 6

So, Greatest Common Divisor of 228, 756, 438, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 372, 320, 444
• GCD of 344, 752, 858, 881
• GCD of 826, 569, 660, 454
• GCD of 813, 268, 423, 883
• GCD of 947, 253, 288, 915

Given numbers are 228, 756, 438, 802
The greatest common divisor of numbers 228, 756, 438, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 756, 438, 802 is 2.

1. What is the GCD of 228, 756, 438, 802?

GCD of given numbers 228, 756, 438, 802 is 2

2. How to calculate the greatest common divisor of 228, 756, 438, 802?

We can find the highest common divisor of 228, 756, 438, 802 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, 756, 438, 802 i.e 2.

3. How can I use the GCD of 228, 756, 438, 802Calculator?

Out the numbers 228, 756, 438, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.