GCD of 180, 141, 24, 486 Calculator

Given Input numbers are 180, 141, 24, 486

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 141 :

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

1, 3, 47, 141

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

GCD of numbers is the greatest common divisor

So, the GCD (180, 141, 24, 486) = 3.

Given numbers are 180, 141, 24, 486

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 141 are 3 x 47

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 180, 141, 24, 486 is 3.

Given numbers are 180, 141, 24, 486

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

Apply this formula for all numbers.

Step1:

LCM(180, 141) = 8460

GCD(180, 141) = ( 180 x 141 ) / 8460

= 180 / 141

= 180

Step2:

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

= 3 / 24

= 3

Step3:

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

= 3 / 486

= 3

So, Greatest Common Divisor of 180, 141, 24, 486 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 358, 11, 659
• GCD of 892, 630, 67, 839
• GCD of 218, 853, 30, 423
• GCD of 595, 869, 97, 477
• GCD of 908, 957, 14, 570

Given numbers are 180, 141, 24, 486
The greatest common divisor of numbers 180, 141, 24, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 141, 24, 486 is 3.

1. What is the GCD of 180, 141, 24, 486?

GCD of given numbers 180, 141, 24, 486 is 3

2. How to calculate the greatest common divisor of 180, 141, 24, 486?

We can find the highest common divisor of 180, 141, 24, 486 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, 141, 24, 486 i.e 3.

3. How can I use the GCD of 180, 141, 24, 486Calculator?

Out the numbers 180, 141, 24, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.