GCD of 836, 140, 904, 166 Calculator

Given Input numbers are 836, 140, 904, 166

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

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 836, 140, 904, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 140, 904, 166 is 2.

Therefore, GCD of numbers 836, 140, 904, 166 is 2

Given Input Data is 836, 140, 904, 166

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

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 166 is 2 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(836, 140) = 29260

GCD(836, 140) = ( 836 x 140 ) / 29260

GCD(836, 140) = 117040 / 29260

GCD(836, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 904

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

LCM(4, 904) = 904

GCD(4, 904) = ( 4 x 904 ) / 904

GCD(4, 904) = 3616 / 904

GCD(4, 904) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 166

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

LCM(4, 166) = 332

GCD(4, 166) = ( 4 x 166 ) / 332

GCD(4, 166) = 664 / 332

GCD(4, 166) = 2

GCD of 836, 140, 904, 166 is 2

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1. What is the GCD of 836, 140, 904, 166?

GCD of 836, 140, 904, 166 is 2

2. Where do I get the detailed procedure to find GCD of 836, 140, 904, 166?

You can find a detailed procedure to find GCD of 836, 140, 904, 166 on our page.

3. How to find GCD of 836, 140, 904, 166 on a calculator?

You can find the GCD of 836, 140, 904, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.