GCD of 543, 870, 561, 684 Calculator

Given Input numbers are 543, 870, 561, 684

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (543, 870, 561, 684) = 3.

Given numbers are 543, 870, 561, 684

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 561 are 3 x 11 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 543, 870, 561, 684 is 3.

Given numbers are 543, 870, 561, 684

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

Apply this formula for all numbers.

Step1:

LCM(543, 870) = 157470

GCD(543, 870) = ( 543 x 870 ) / 157470

= 543 / 870

= 543

Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

Step3:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

So, Greatest Common Divisor of 543, 870, 561, 684 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 581, 737, 301
• GCD of 352, 908, 588, 443
• GCD of 808, 657, 357, 647
• GCD of 214, 557, 581, 570
• GCD of 100, 539, 300, 318

Given numbers are 543, 870, 561, 684
The greatest common divisor of numbers 543, 870, 561, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 870, 561, 684 is 3.

1. What is the GCD of 543, 870, 561, 684?

GCD of given numbers 543, 870, 561, 684 is 3

2. How to calculate the greatest common divisor of 543, 870, 561, 684?

We can find the highest common divisor of 543, 870, 561, 684 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, 870, 561, 684 i.e 3.

3. How can I use the GCD of 543, 870, 561, 684Calculator?

Out the numbers 543, 870, 561, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.