GCD of 170, 834, 296, 408 Calculator

Given Input numbers are 170, 834, 296, 408

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 170, 834, 296, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 834, 296, 408 is 2.

Therefore, GCD of numbers 170, 834, 296, 408 is 2

Given Input Data is 170, 834, 296, 408

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 834 is 2 x 3 x 139

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(170, 834) = 70890

GCD(170, 834) = ( 170 x 834 ) / 70890

GCD(170, 834) = 141780 / 70890

GCD(170, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 170, 834, 296, 408 is 2

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1. What is the GCD of 170, 834, 296, 408?

GCD of 170, 834, 296, 408 is 2

2. Where do I get the detailed procedure to find GCD of 170, 834, 296, 408?

You can find a detailed procedure to find GCD of 170, 834, 296, 408 on our page.

3. How to find GCD of 170, 834, 296, 408 on a calculator?

You can find the GCD of 170, 834, 296, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.