GCD of 356, 366, 153, 805 Calculator

Given Input numbers are 356, 366, 153, 805

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 805

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

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

Greatest Common Divisior

We found the divisors of 356, 366, 153, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 366, 153, 805 is 1.

Therefore, GCD of numbers 356, 366, 153, 805 is 1

Given Input Data is 356, 366, 153, 805

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 805 is 5 x 7 x 23

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(356, 366) = 65148

GCD(356, 366) = ( 356 x 366 ) / 65148

GCD(356, 366) = 130296 / 65148

GCD(356, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

Step3:

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

GCD of 356, 366, 153, 805 is 1

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1. What is the GCD of 356, 366, 153, 805?

GCD of 356, 366, 153, 805 is 1

2. Where do I get the detailed procedure to find GCD of 356, 366, 153, 805?

You can find a detailed procedure to find GCD of 356, 366, 153, 805 on our page.

3. How to find GCD of 356, 366, 153, 805 on a calculator?

You can find the GCD of 356, 366, 153, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.