GCD of 543, 378, 168 Calculator

Given Input numbers are 543, 378, 168

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

Divisors of 543 :

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

1, 3, 181, 543

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (543, 378, 168) = 3.

Given numbers are 543, 378, 168

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 543, 378, 168 is 3.

Given numbers are 543, 378, 168

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

Apply this formula for all numbers.

Step1:

LCM(543, 378) = 68418

GCD(543, 378) = ( 543 x 378 ) / 68418

= 543 / 378

= 543

Step2:

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

= 3 / 168

= 3

So, Greatest Common Divisor of 543, 378, 168 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 519, 901
• GCD of 431, 870, 219
• GCD of 648, 342, 966
• GCD of 811, 725, 193
• GCD of 121, 149, 534

Given numbers are 543, 378, 168
The greatest common divisor of numbers 543, 378, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 378, 168 is 3.

1. What is the GCD of 543, 378, 168?

GCD of given numbers 543, 378, 168 is 3

2. How to calculate the greatest common divisor of 543, 378, 168?

We can find the highest common divisor of 543, 378, 168 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 543, 378, 168 i.e 3.

3. How can I use the GCD of 543, 378, 168Calculator?

Out the numbers 543, 378, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.