GCD of 132, 342, 61, 475 Calculator

Given Input numbers are 132, 342, 61, 475

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 132, 342, 61, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 342, 61, 475 is 1.

Therefore, GCD of numbers 132, 342, 61, 475 is 1

Given Input Data is 132, 342, 61, 475

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 342 is 2 x 3 x 3 x 19

Prime Factorization of 61 is 61

Prime Factorization of 475 is 5 x 5 x 19

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, 342) = 7524

GCD(132, 342) = ( 132 x 342 ) / 7524

GCD(132, 342) = 45144 / 7524

GCD(132, 342) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 61

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

LCM(6, 61) = 366

GCD(6, 61) = ( 6 x 61 ) / 366

GCD(6, 61) = 366 / 366

GCD(6, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 132, 342, 61, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 401, 72, 237
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• GCD of 610, 842, 20, 932

1. What is the GCD of 132, 342, 61, 475?

GCD of 132, 342, 61, 475 is 1

2. Where do I get the detailed procedure to find GCD of 132, 342, 61, 475?

You can find a detailed procedure to find GCD of 132, 342, 61, 475 on our page.

3. How to find GCD of 132, 342, 61, 475 on a calculator?

You can find the GCD of 132, 342, 61, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.