GCD of 189, 538, 364, 558 Calculator

Given Input numbers are 189, 538, 364, 558

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 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (189, 538, 364, 558) = 1.

Given numbers are 189, 538, 364, 558

The list of prime factors of all numbers are

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

Prime factors of 538 are 2 x 269

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 558 are 2 x 3 x 3 x 31

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

Given numbers are 189, 538, 364, 558

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

Apply this formula for all numbers.

Step1:

LCM(189, 538) = 101682

GCD(189, 538) = ( 189 x 538 ) / 101682

= 189 / 538

= 189

Step2:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

Step3:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

So, Greatest Common Divisor of 189, 538, 364, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 278, 263, 805
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• GCD of 246, 707, 514, 370
• GCD of 257, 698, 911, 160
• GCD of 438, 333, 976, 674

Given numbers are 189, 538, 364, 558
The greatest common divisor of numbers 189, 538, 364, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 538, 364, 558 is 1.

1. What is the GCD of 189, 538, 364, 558?

GCD of given numbers 189, 538, 364, 558 is 1

2. How to calculate the greatest common divisor of 189, 538, 364, 558?

We can find the highest common divisor of 189, 538, 364, 558 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, 538, 364, 558 i.e 1.

3. How can I use the GCD of 189, 538, 364, 558Calculator?

Out the numbers 189, 538, 364, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.