GCD of 904, 268, 805, 959 Calculator

Given Input numbers are 904, 268, 805, 959

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 904, 268, 805, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 268, 805, 959 is 1.

Therefore, GCD of numbers 904, 268, 805, 959 is 1

Given Input Data is 904, 268, 805, 959

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 959 is 7 x 137

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(904, 268) = 60568

GCD(904, 268) = ( 904 x 268 ) / 60568

GCD(904, 268) = 242272 / 60568

GCD(904, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 805

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

LCM(4, 805) = 3220

GCD(4, 805) = ( 4 x 805 ) / 3220

GCD(4, 805) = 3220 / 3220

GCD(4, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 904, 268, 805, 959 is 1

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1. What is the GCD of 904, 268, 805, 959?

GCD of 904, 268, 805, 959 is 1

2. Where do I get the detailed procedure to find GCD of 904, 268, 805, 959?

You can find a detailed procedure to find GCD of 904, 268, 805, 959 on our page.

3. How to find GCD of 904, 268, 805, 959 on a calculator?

You can find the GCD of 904, 268, 805, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.