GCD of 543, 330, 210, 987 Calculator

Given Input numbers are 543, 330, 210, 987

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (543, 330, 210, 987) = 3.

Given numbers are 543, 330, 210, 987

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 543, 330, 210, 987 is 3.

Given numbers are 543, 330, 210, 987

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

Apply this formula for all numbers.

Step1:

LCM(543, 330) = 59730

GCD(543, 330) = ( 543 x 330 ) / 59730

= 543 / 330

= 543

Step2:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

Step3:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 543, 330, 210, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 684, 709, 678
• GCD of 618, 495, 555, 972
• GCD of 580, 634, 644, 773
• GCD of 925, 298, 369, 212
• GCD of 796, 117, 160, 335

Given numbers are 543, 330, 210, 987
The greatest common divisor of numbers 543, 330, 210, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 330, 210, 987 is 3.

1. What is the GCD of 543, 330, 210, 987?

GCD of given numbers 543, 330, 210, 987 is 3

2. How to calculate the greatest common divisor of 543, 330, 210, 987?

We can find the highest common divisor of 543, 330, 210, 987 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, 330, 210, 987 i.e 3.

3. How can I use the GCD of 543, 330, 210, 987Calculator?

Out the numbers 543, 330, 210, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.