GCD of 189, 141, 543 Calculator

Given Input numbers are 189, 141, 543

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 141 :

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

1, 3, 47, 141

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (189, 141, 543) = 3.

Given numbers are 189, 141, 543

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 141 are 3 x 47

Prime factors of 543 are 3 x 181

The highest common occurrence is 3¹

Therefore, GCD of 189, 141, 543 is 3.

Given numbers are 189, 141, 543

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

Apply this formula for all numbers.

Step1:

LCM(189, 141) = 8883

GCD(189, 141) = ( 189 x 141 ) / 8883

= 189 / 141

= 189

Step2:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3

So, Greatest Common Divisor of 189, 141, 543 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 415, 564
• GCD of 312, 817, 759
• GCD of 157, 745, 354
• GCD of 722, 154, 400
• GCD of 396, 794, 847

Given numbers are 189, 141, 543
The greatest common divisor of numbers 189, 141, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 141, 543 is 3.

1. What is the GCD of 189, 141, 543?

GCD of given numbers 189, 141, 543 is 3

2. How to calculate the greatest common divisor of 189, 141, 543?

We can find the highest common divisor of 189, 141, 543 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 189, 141, 543 i.e 3.

3. How can I use the GCD of 189, 141, 543Calculator?

Out the numbers 189, 141, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.