GCD of 205, 562, 805, 132 Calculator

Given Input numbers are 205, 562, 805, 132

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

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

Greatest Common Divisior

We found the divisors of 205, 562, 805, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 562, 805, 132 is 1.

Therefore, GCD of numbers 205, 562, 805, 132 is 1

Given Input Data is 205, 562, 805, 132

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 562 is 2 x 281

Prime Factorization of 805 is 5 x 7 x 23

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

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(205, 562) = 115210

GCD(205, 562) = ( 205 x 562 ) / 115210

GCD(205, 562) = 115210 / 115210

GCD(205, 562) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 205, 562, 805, 132 is 1

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1. What is the GCD of 205, 562, 805, 132?

GCD of 205, 562, 805, 132 is 1

2. Where do I get the detailed procedure to find GCD of 205, 562, 805, 132?

You can find a detailed procedure to find GCD of 205, 562, 805, 132 on our page.

3. How to find GCD of 205, 562, 805, 132 on a calculator?

You can find the GCD of 205, 562, 805, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.