GCD of 324, 147, 294, 183 Calculator

Given Input numbers are 324, 147, 294, 183

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

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

GCD of numbers is the greatest common divisor

So, the GCD (324, 147, 294, 183) = 3.

Given numbers are 324, 147, 294, 183

The list of prime factors of all numbers are

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

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 183 are 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 324, 147, 294, 183 is 3.

Given numbers are 324, 147, 294, 183

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

Apply this formula for all numbers.

Step1:

LCM(324, 147) = 15876

GCD(324, 147) = ( 324 x 147 ) / 15876

= 324 / 147

= 324

Step2:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3

Step3:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3

So, Greatest Common Divisor of 324, 147, 294, 183 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 496, 980, 741
• GCD of 315, 601, 728, 150
• GCD of 429, 150, 745, 781
• GCD of 601, 865, 755, 858
• GCD of 793, 753, 834, 134

Given numbers are 324, 147, 294, 183
The greatest common divisor of numbers 324, 147, 294, 183 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 147, 294, 183 is 3.

1. What is the GCD of 324, 147, 294, 183?

GCD of given numbers 324, 147, 294, 183 is 3

2. How to calculate the greatest common divisor of 324, 147, 294, 183?

We can find the highest common divisor of 324, 147, 294, 183 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 324, 147, 294, 183 i.e 3.

3. How can I use the GCD of 324, 147, 294, 183Calculator?

Out the numbers 324, 147, 294, 183 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.