GCD of 132, 135, 397, 284 Calculator

Given Input numbers are 132, 135, 397, 284

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 132, 135, 397, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 135, 397, 284 is 1.

Therefore, GCD of numbers 132, 135, 397, 284 is 1

Given Input Data is 132, 135, 397, 284

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 397 is 397

Prime Factorization of 284 is 2 x 2 x 71

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, 135) = 5940

GCD(132, 135) = ( 132 x 135 ) / 5940

GCD(132, 135) = 17820 / 5940

GCD(132, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 397

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

LCM(3, 397) = 1191

GCD(3, 397) = ( 3 x 397 ) / 1191

GCD(3, 397) = 1191 / 1191

GCD(3, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 132, 135, 397, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 144, 796, 490
• GCD of 371, 968, 721, 421
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• GCD of 236, 559, 953, 394
• GCD of 954, 524, 786, 451

1. What is the GCD of 132, 135, 397, 284?

GCD of 132, 135, 397, 284 is 1

2. Where do I get the detailed procedure to find GCD of 132, 135, 397, 284?

You can find a detailed procedure to find GCD of 132, 135, 397, 284 on our page.

3. How to find GCD of 132, 135, 397, 284 on a calculator?

You can find the GCD of 132, 135, 397, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.