GCD of 138, 570, 381, 189 Calculator

Given Input numbers are 138, 570, 381, 189

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (138, 570, 381, 189) = 3.

Given numbers are 138, 570, 381, 189

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 381 are 3 x 127

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

The highest common occurrence is 3¹

Therefore, GCD of 138, 570, 381, 189 is 3.

Given numbers are 138, 570, 381, 189

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

Apply this formula for all numbers.

Step1:

LCM(138, 570) = 13110

GCD(138, 570) = ( 138 x 570 ) / 13110

= 138 / 570

= 138

Step2:

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

= 6 / 381

= 6

Step3:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

So, Greatest Common Divisor of 138, 570, 381, 189 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 775, 454, 470
• GCD of 202, 530, 915, 605
• GCD of 854, 274, 230, 523
• GCD of 132, 968, 699, 992
• GCD of 273, 264, 545, 321

Given numbers are 138, 570, 381, 189
The greatest common divisor of numbers 138, 570, 381, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 570, 381, 189 is 3.

1. What is the GCD of 138, 570, 381, 189?

GCD of given numbers 138, 570, 381, 189 is 3

2. How to calculate the greatest common divisor of 138, 570, 381, 189?

We can find the highest common divisor of 138, 570, 381, 189 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 138, 570, 381, 189 i.e 3.

3. How can I use the GCD of 138, 570, 381, 189Calculator?

Out the numbers 138, 570, 381, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.