GCD of 170, 974, 996 Calculator

Given Input numbers are 170, 974, 996

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 170, 974, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 974, 996 is 2.

Therefore, GCD of numbers 170, 974, 996 is 2

Given Input Data is 170, 974, 996

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 974 is 2 x 487

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 974) = 82790

GCD(170, 974) = ( 170 x 974 ) / 82790

GCD(170, 974) = 165580 / 82790

GCD(170, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 170, 974, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 585, 420
• GCD of 193, 359, 193
• GCD of 476, 191, 785
• GCD of 289, 363, 105
• GCD of 332, 811, 419

1. What is the GCD of 170, 974, 996?

GCD of 170, 974, 996 is 2

2. Where do I get the detailed procedure to find GCD of 170, 974, 996?

You can find a detailed procedure to find GCD of 170, 974, 996 on our page.

3. How to find GCD of 170, 974, 996 on a calculator?

You can find the GCD of 170, 974, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.