GCD of 74, 514, 170, 836 Calculator

Given Input numbers are 74, 514, 170, 836

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 74, 514, 170, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 514, 170, 836 is 2.

Therefore, GCD of numbers 74, 514, 170, 836 is 2

Given Input Data is 74, 514, 170, 836

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 514 is 2 x 257

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(74, 514) = 19018

GCD(74, 514) = ( 74 x 514 ) / 19018

GCD(74, 514) = 38036 / 19018

GCD(74, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 2

GCD of 74, 514, 170, 836 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 971, 552, 497
• GCD of 47, 851, 445, 580
• GCD of 19, 311, 436, 352
• GCD of 17, 266, 590, 261
• GCD of 37, 246, 372, 537

1. What is the GCD of 74, 514, 170, 836?

GCD of 74, 514, 170, 836 is 2

2. Where do I get the detailed procedure to find GCD of 74, 514, 170, 836?

You can find a detailed procedure to find GCD of 74, 514, 170, 836 on our page.

3. How to find GCD of 74, 514, 170, 836 on a calculator?

You can find the GCD of 74, 514, 170, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.