GCD of 320, 270, 228, 114 Calculator

Given Input numbers are 320, 270, 228, 114

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (320, 270, 228, 114) = 2.

Given numbers are 320, 270, 228, 114

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 320, 270, 228, 114 is 2.

Given numbers are 320, 270, 228, 114

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

Apply this formula for all numbers.

Step1:

LCM(320, 270) = 8640

GCD(320, 270) = ( 320 x 270 ) / 8640

= 320 / 270

= 320

Step2:

LCM(10, 228) = 1140

GCD(10, 228) = ( 10 x 228 ) / 1140

= 10 / 228

= 10

Step3:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

So, Greatest Common Divisor of 320, 270, 228, 114 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 322, 926, 743
• GCD of 686, 530, 515, 376
• GCD of 328, 645, 858, 806
• GCD of 566, 168, 273, 917
• GCD of 275, 915, 922, 929

Given numbers are 320, 270, 228, 114
The greatest common divisor of numbers 320, 270, 228, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 270, 228, 114 is 2.

1. What is the GCD of 320, 270, 228, 114?

GCD of given numbers 320, 270, 228, 114 is 2

2. How to calculate the greatest common divisor of 320, 270, 228, 114?

We can find the highest common divisor of 320, 270, 228, 114 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 320, 270, 228, 114 i.e 2.

3. How can I use the GCD of 320, 270, 228, 114Calculator?

Out the numbers 320, 270, 228, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.