GCD of 120, 324, 327, 141 Calculator

Given Input numbers are 120, 324, 327, 141

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (120, 324, 327, 141) = 3.

Given numbers are 120, 324, 327, 141

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 327 are 3 x 109

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 120, 324, 327, 141 is 3.

Given numbers are 120, 324, 327, 141

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

Apply this formula for all numbers.

Step1:

LCM(120, 324) = 3240

GCD(120, 324) = ( 120 x 324 ) / 3240

= 120 / 324

= 120

Step2:

LCM(12, 327) = 1308

GCD(12, 327) = ( 12 x 327 ) / 1308

= 12 / 327

= 12

Step3:

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

= 3 / 141

= 3

So, Greatest Common Divisor of 120, 324, 327, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 540, 965, 396
• GCD of 976, 874, 160, 904
• GCD of 547, 903, 756, 622
• GCD of 981, 878, 431, 778
• GCD of 611, 587, 325, 205

Given numbers are 120, 324, 327, 141
The greatest common divisor of numbers 120, 324, 327, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 324, 327, 141 is 3.

1. What is the GCD of 120, 324, 327, 141?

GCD of given numbers 120, 324, 327, 141 is 3

2. How to calculate the greatest common divisor of 120, 324, 327, 141?

We can find the highest common divisor of 120, 324, 327, 141 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 120, 324, 327, 141 i.e 3.

3. How can I use the GCD of 120, 324, 327, 141Calculator?

Out the numbers 120, 324, 327, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.