GCD of 270, 432, 184, 314 Calculator

Given Input numbers are 270, 432, 184, 314

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

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (270, 432, 184, 314) = 2.

Given numbers are 270, 432, 184, 314

The list of prime factors of all numbers are

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

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 270, 432, 184, 314 is 2.

Given numbers are 270, 432, 184, 314

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

Apply this formula for all numbers.

Step1:

LCM(270, 432) = 2160

GCD(270, 432) = ( 270 x 432 ) / 2160

= 270 / 432

= 270

Step2:

LCM(54, 184) = 4968

GCD(54, 184) = ( 54 x 184 ) / 4968

= 54 / 184

= 54

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 270, 432, 184, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 427, 513, 437
• GCD of 274, 586, 963, 104
• GCD of 888, 996, 169, 576
• GCD of 536, 128, 907, 531
• GCD of 642, 428, 902, 101

Given numbers are 270, 432, 184, 314
The greatest common divisor of numbers 270, 432, 184, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 432, 184, 314 is 2.

1. What is the GCD of 270, 432, 184, 314?

GCD of given numbers 270, 432, 184, 314 is 2

2. How to calculate the greatest common divisor of 270, 432, 184, 314?

We can find the highest common divisor of 270, 432, 184, 314 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 270, 432, 184, 314 i.e 2.

3. How can I use the GCD of 270, 432, 184, 314Calculator?

Out the numbers 270, 432, 184, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.