GCD of 180, 168, 304, 270 Calculator

Given Input numbers are 180, 168, 304, 270

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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

GCD of numbers is the greatest common divisor

So, the GCD (180, 168, 304, 270) = 2.

Given numbers are 180, 168, 304, 270

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 180, 168, 304, 270 is 2.

Given numbers are 180, 168, 304, 270

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

Apply this formula for all numbers.

Step1:

LCM(180, 168) = 2520

GCD(180, 168) = ( 180 x 168 ) / 2520

= 180 / 168

= 180

Step2:

LCM(12, 304) = 912

GCD(12, 304) = ( 12 x 304 ) / 912

= 12 / 304

= 12

Step3:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

So, Greatest Common Divisor of 180, 168, 304, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 646, 697, 965
• GCD of 235, 364, 952, 780
• GCD of 743, 131, 818, 443
• GCD of 515, 778, 109, 350
• GCD of 294, 373, 362, 529

Given numbers are 180, 168, 304, 270
The greatest common divisor of numbers 180, 168, 304, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 168, 304, 270 is 2.

1. What is the GCD of 180, 168, 304, 270?

GCD of given numbers 180, 168, 304, 270 is 2

2. How to calculate the greatest common divisor of 180, 168, 304, 270?

We can find the highest common divisor of 180, 168, 304, 270 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 180, 168, 304, 270 i.e 2.

3. How can I use the GCD of 180, 168, 304, 270Calculator?

Out the numbers 180, 168, 304, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.