GCD of 189, 687, 558, 739 Calculator

Given Input numbers are 189, 687, 558, 739

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 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (189, 687, 558, 739) = 1.

Given numbers are 189, 687, 558, 739

The list of prime factors of all numbers are

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

Prime factors of 687 are 3 x 229

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

Prime factors of 739 are 739

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

Given numbers are 189, 687, 558, 739

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

Apply this formula for all numbers.

Step1:

LCM(189, 687) = 43281

GCD(189, 687) = ( 189 x 687 ) / 43281

= 189 / 687

= 189

Step2:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

Step3:

LCM(3, 739) = 2217

GCD(3, 739) = ( 3 x 739 ) / 2217

= 3 / 739

= 3

So, Greatest Common Divisor of 189, 687, 558, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 519, 485, 420
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• GCD of 709, 292, 737, 135
• GCD of 516, 940, 443, 971

Given numbers are 189, 687, 558, 739
The greatest common divisor of numbers 189, 687, 558, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 687, 558, 739 is 1.

1. What is the GCD of 189, 687, 558, 739?

GCD of given numbers 189, 687, 558, 739 is 1

2. How to calculate the greatest common divisor of 189, 687, 558, 739?

We can find the highest common divisor of 189, 687, 558, 739 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, 687, 558, 739 i.e 1.

3. How can I use the GCD of 189, 687, 558, 739Calculator?

Out the numbers 189, 687, 558, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.