GCD of 294, 324, 180, 286 Calculator

Given Input numbers are 294, 324, 180, 286

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

GCD of numbers is the greatest common divisor

So, the GCD (294, 324, 180, 286) = 2.

Given numbers are 294, 324, 180, 286

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 286 are 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 294, 324, 180, 286 is 2.

Given numbers are 294, 324, 180, 286

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

Apply this formula for all numbers.

Step1:

LCM(294, 324) = 15876

GCD(294, 324) = ( 294 x 324 ) / 15876

= 294 / 324

= 294

Step2:

LCM(6, 180) = 180

GCD(6, 180) = ( 6 x 180 ) / 180

= 6 / 180

= 6

Step3:

LCM(6, 286) = 858

GCD(6, 286) = ( 6 x 286 ) / 858

= 6 / 286

= 6

So, Greatest Common Divisor of 294, 324, 180, 286 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 536, 393, 351
• GCD of 949, 715, 714, 223
• GCD of 812, 889, 808, 127
• GCD of 453, 300, 902, 607
• GCD of 176, 866, 965, 495

Given numbers are 294, 324, 180, 286
The greatest common divisor of numbers 294, 324, 180, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 324, 180, 286 is 2.

1. What is the GCD of 294, 324, 180, 286?

GCD of given numbers 294, 324, 180, 286 is 2

2. How to calculate the greatest common divisor of 294, 324, 180, 286?

We can find the highest common divisor of 294, 324, 180, 286 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 294, 324, 180, 286 i.e 2.

3. How can I use the GCD of 294, 324, 180, 286Calculator?

Out the numbers 294, 324, 180, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.