GCD of 189, 465, 573, 300 Calculator

Given Input numbers are 189, 465, 573, 300

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 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (189, 465, 573, 300) = 3.

Given numbers are 189, 465, 573, 300

The list of prime factors of all numbers are

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

Prime factors of 465 are 3 x 5 x 31

Prime factors of 573 are 3 x 191

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 189, 465, 573, 300 is 3.

Given numbers are 189, 465, 573, 300

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

Apply this formula for all numbers.

Step1:

LCM(189, 465) = 29295

GCD(189, 465) = ( 189 x 465 ) / 29295

= 189 / 465

= 189

Step2:

LCM(3, 573) = 573

GCD(3, 573) = ( 3 x 573 ) / 573

= 3 / 573

= 3

Step3:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 189, 465, 573, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 586, 652, 709
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Given numbers are 189, 465, 573, 300
The greatest common divisor of numbers 189, 465, 573, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 465, 573, 300 is 3.

1. What is the GCD of 189, 465, 573, 300?

GCD of given numbers 189, 465, 573, 300 is 3

2. How to calculate the greatest common divisor of 189, 465, 573, 300?

We can find the highest common divisor of 189, 465, 573, 300 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, 465, 573, 300 i.e 3.

3. How can I use the GCD of 189, 465, 573, 300Calculator?

Out the numbers 189, 465, 573, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.