GCD of 170, 852, 756, 934 Calculator

Given Input numbers are 170, 852, 756, 934

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Greatest Common Divisior

We found the divisors of 170, 852, 756, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 852, 756, 934 is 2.

Therefore, GCD of numbers 170, 852, 756, 934 is 2

Given Input Data is 170, 852, 756, 934

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 934 is 2 x 467

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, 852) = 72420

GCD(170, 852) = ( 170 x 852 ) / 72420

GCD(170, 852) = 144840 / 72420

GCD(170, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

GCD of 170, 852, 756, 934 is 2

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1. What is the GCD of 170, 852, 756, 934?

GCD of 170, 852, 756, 934 is 2

2. Where do I get the detailed procedure to find GCD of 170, 852, 756, 934?

You can find a detailed procedure to find GCD of 170, 852, 756, 934 on our page.

3. How to find GCD of 170, 852, 756, 934 on a calculator?

You can find the GCD of 170, 852, 756, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.