GCD of 805, 159, 217, 308 Calculator

Given Input numbers are 805, 159, 217, 308

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

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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 805, 159, 217, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 159, 217, 308 is 1.

Therefore, GCD of numbers 805, 159, 217, 308 is 1

Given Input Data is 805, 159, 217, 308

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 159 is 3 x 53

Prime Factorization of 217 is 7 x 31

Prime Factorization of 308 is 2 x 2 x 7 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(805, 159) = 127995

GCD(805, 159) = ( 805 x 159 ) / 127995

GCD(805, 159) = 127995 / 127995

GCD(805, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 805, 159, 217, 308 is 1

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1. What is the GCD of 805, 159, 217, 308?

GCD of 805, 159, 217, 308 is 1

2. Where do I get the detailed procedure to find GCD of 805, 159, 217, 308?

You can find a detailed procedure to find GCD of 805, 159, 217, 308 on our page.

3. How to find GCD of 805, 159, 217, 308 on a calculator?

You can find the GCD of 805, 159, 217, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.