GCD of 189, 429, 213, 447 Calculator

Given Input numbers are 189, 429, 213, 447

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 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

GCD of numbers is the greatest common divisor

So, the GCD (189, 429, 213, 447) = 3.

Given numbers are 189, 429, 213, 447

The list of prime factors of all numbers are

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 213 are 3 x 71

Prime factors of 447 are 3 x 149

The highest common occurrence is 3¹

Therefore, GCD of 189, 429, 213, 447 is 3.

Given numbers are 189, 429, 213, 447

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

Apply this formula for all numbers.

Step1:

LCM(189, 429) = 27027

GCD(189, 429) = ( 189 x 429 ) / 27027

= 189 / 429

= 189

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 447) = 447

GCD(3, 447) = ( 3 x 447 ) / 447

= 3 / 447

= 3

So, Greatest Common Divisor of 189, 429, 213, 447 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 408, 602, 216
• GCD of 399, 249, 342, 154
• GCD of 842, 673, 472, 794
• GCD of 889, 906, 562, 157
• GCD of 747, 241, 206, 149

Given numbers are 189, 429, 213, 447
The greatest common divisor of numbers 189, 429, 213, 447 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 429, 213, 447 is 3.

1. What is the GCD of 189, 429, 213, 447?

GCD of given numbers 189, 429, 213, 447 is 3

2. How to calculate the greatest common divisor of 189, 429, 213, 447?

We can find the highest common divisor of 189, 429, 213, 447 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, 429, 213, 447 i.e 3.

3. How can I use the GCD of 189, 429, 213, 447Calculator?

Out the numbers 189, 429, 213, 447 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.