GCD of 132, 445, 654, 266 Calculator

Given Input numbers are 132, 445, 654, 266

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 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 132, 445, 654, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 445, 654, 266 is 1.

Therefore, GCD of numbers 132, 445, 654, 266 is 1

Given Input Data is 132, 445, 654, 266

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 445 is 5 x 89

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 266 is 2 x 7 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, 445) = 58740

GCD(132, 445) = ( 132 x 445 ) / 58740

GCD(132, 445) = 58740 / 58740

GCD(132, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 266

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

LCM(1, 266) = 266

GCD(1, 266) = ( 1 x 266 ) / 266

GCD(1, 266) = 266 / 266

GCD(1, 266) = 1

GCD of 132, 445, 654, 266 is 1

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1. What is the GCD of 132, 445, 654, 266?

GCD of 132, 445, 654, 266 is 1

2. Where do I get the detailed procedure to find GCD of 132, 445, 654, 266?

You can find a detailed procedure to find GCD of 132, 445, 654, 266 on our page.

3. How to find GCD of 132, 445, 654, 266 on a calculator?

You can find the GCD of 132, 445, 654, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.