GCD of 228, 744, 802, 308 Calculator

Given Input numbers are 228, 744, 802, 308

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 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 802 :

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

1, 2, 401, 802

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (228, 744, 802, 308) = 2.

Given numbers are 228, 744, 802, 308

The list of prime factors of all numbers are

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 802 are 2 x 401

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 228, 744, 802, 308 is 2.

Given numbers are 228, 744, 802, 308

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

Apply this formula for all numbers.

Step1:

LCM(228, 744) = 14136

GCD(228, 744) = ( 228 x 744 ) / 14136

= 228 / 744

= 228

Step2:

LCM(12, 802) = 4812

GCD(12, 802) = ( 12 x 802 ) / 4812

= 12 / 802

= 12

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 228, 744, 802, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 136, 939, 546
• GCD of 209, 580, 986, 133
• GCD of 194, 459, 315, 764
• GCD of 805, 106, 692, 436
• GCD of 334, 212, 449, 143

Given numbers are 228, 744, 802, 308
The greatest common divisor of numbers 228, 744, 802, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 744, 802, 308 is 2.

1. What is the GCD of 228, 744, 802, 308?

GCD of given numbers 228, 744, 802, 308 is 2

2. How to calculate the greatest common divisor of 228, 744, 802, 308?

We can find the highest common divisor of 228, 744, 802, 308 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, 744, 802, 308 i.e 2.

3. How can I use the GCD of 228, 744, 802, 308Calculator?

Out the numbers 228, 744, 802, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.