GCD of 296, 340, 217, 859 Calculator

Given Input numbers are 296, 340, 217, 859

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

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 217

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

1, 7, 31, 217

Divisors of 859

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

1, 859

Greatest Common Divisior

We found the divisors of 296, 340, 217, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 340, 217, 859 is 1.

Therefore, GCD of numbers 296, 340, 217, 859 is 1

Given Input Data is 296, 340, 217, 859

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

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 217 is 7 x 31

Prime Factorization of 859 is 859

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(296, 340) = 25160

GCD(296, 340) = ( 296 x 340 ) / 25160

GCD(296, 340) = 100640 / 25160

GCD(296, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 217

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

LCM(4, 217) = 868

GCD(4, 217) = ( 4 x 217 ) / 868

GCD(4, 217) = 868 / 868

GCD(4, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

GCD of 296, 340, 217, 859 is 1

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1. What is the GCD of 296, 340, 217, 859?

GCD of 296, 340, 217, 859 is 1

2. Where do I get the detailed procedure to find GCD of 296, 340, 217, 859?

You can find a detailed procedure to find GCD of 296, 340, 217, 859 on our page.

3. How to find GCD of 296, 340, 217, 859 on a calculator?

You can find the GCD of 296, 340, 217, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.