GCD of 859, 209, 296, 295 Calculator

Given Input numbers are 859, 209, 296, 295

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

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 859, 209, 296, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 209, 296, 295 is 1.

Therefore, GCD of numbers 859, 209, 296, 295 is 1

Given Input Data is 859, 209, 296, 295

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

Prime Factorization of 859 is 859

Prime Factorization of 209 is 11 x 19

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 295 is 5 x 59

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(859, 209) = 179531

GCD(859, 209) = ( 859 x 209 ) / 179531

GCD(859, 209) = 179531 / 179531

GCD(859, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 859, 209, 296, 295 is 1

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1. What is the GCD of 859, 209, 296, 295?

GCD of 859, 209, 296, 295 is 1

2. Where do I get the detailed procedure to find GCD of 859, 209, 296, 295?

You can find a detailed procedure to find GCD of 859, 209, 296, 295 on our page.

3. How to find GCD of 859, 209, 296, 295 on a calculator?

You can find the GCD of 859, 209, 296, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.