GCD of 198, 543, 221, 684 Calculator

Given Input numbers are 198, 543, 221, 684

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 543 :

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

1, 3, 181, 543

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

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 (198, 543, 221, 684) = 1.

Given numbers are 198, 543, 221, 684

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 543 are 3 x 181

Prime factors of 221 are 13 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 198, 543, 221, 684

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

Apply this formula for all numbers.

Step1:

LCM(198, 543) = 35838

GCD(198, 543) = ( 198 x 543 ) / 35838

= 198 / 543

= 198

Step2:

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

= 3 / 221

= 3

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 198, 543, 221, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 515, 264, 917
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Given numbers are 198, 543, 221, 684
The greatest common divisor of numbers 198, 543, 221, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 543, 221, 684 is 1.

1. What is the GCD of 198, 543, 221, 684?

GCD of given numbers 198, 543, 221, 684 is 1

2. How to calculate the greatest common divisor of 198, 543, 221, 684?

We can find the highest common divisor of 198, 543, 221, 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 198, 543, 221, 684 i.e 1.

3. How can I use the GCD of 198, 543, 221, 684Calculator?

Out the numbers 198, 543, 221, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.