GCD of 132, 205, 380, 214 Calculator

Given Input numbers are 132, 205, 380, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 132, 205, 380, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 205, 380, 214 is 1.

Therefore, GCD of numbers 132, 205, 380, 214 is 1

Given Input Data is 132, 205, 380, 214

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 205 is 5 x 41

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 214 is 2 x 107

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(132, 205) = 27060

GCD(132, 205) = ( 132 x 205 ) / 27060

GCD(132, 205) = 27060 / 27060

GCD(132, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 132, 205, 380, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 136, 366, 593
• GCD of 608, 839, 446, 693
• GCD of 498, 674, 541, 558
• GCD of 825, 719, 127, 592
• GCD of 169, 628, 785, 594

1. What is the GCD of 132, 205, 380, 214?

GCD of 132, 205, 380, 214 is 1

2. Where do I get the detailed procedure to find GCD of 132, 205, 380, 214?

You can find a detailed procedure to find GCD of 132, 205, 380, 214 on our page.

3. How to find GCD of 132, 205, 380, 214 on a calculator?

You can find the GCD of 132, 205, 380, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.