GCD of 432, 558, 420, 141 Calculator

Given Input numbers are 432, 558, 420, 141

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 (432, 558, 420, 141) = 3.

Given numbers are 432, 558, 420, 141

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 432, 558, 420, 141 is 3.

Given numbers are 432, 558, 420, 141

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

Apply this formula for all numbers.

Step1:

LCM(432, 558) = 13392

GCD(432, 558) = ( 432 x 558 ) / 13392

= 432 / 558

= 432

Step2:

LCM(18, 420) = 1260

GCD(18, 420) = ( 18 x 420 ) / 1260

= 18 / 420

= 18

Step3:

LCM(6, 141) = 282

GCD(6, 141) = ( 6 x 141 ) / 282

= 6 / 141

= 6

So, Greatest Common Divisor of 432, 558, 420, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 168, 143, 986
• GCD of 139, 274, 480, 909
• GCD of 905, 291, 923, 157
• GCD of 262, 135, 598, 133
• GCD of 860, 168, 600, 435

Given numbers are 432, 558, 420, 141
The greatest common divisor of numbers 432, 558, 420, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 558, 420, 141 is 3.

1. What is the GCD of 432, 558, 420, 141?

GCD of given numbers 432, 558, 420, 141 is 3

2. How to calculate the greatest common divisor of 432, 558, 420, 141?

We can find the highest common divisor of 432, 558, 420, 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 432, 558, 420, 141 i.e 3.

3. How can I use the GCD of 432, 558, 420, 141Calculator?

Out the numbers 432, 558, 420, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.