GCD of 146, 682, 334, 166 Calculator

Given Input numbers are 146, 682, 334, 166

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

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 146, 682, 334, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 682, 334, 166 is 2.

Therefore, GCD of numbers 146, 682, 334, 166 is 2

Given Input Data is 146, 682, 334, 166

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 334 is 2 x 167

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(146, 682) = 49786

GCD(146, 682) = ( 146 x 682 ) / 49786

GCD(146, 682) = 99572 / 49786

GCD(146, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 146, 682, 334, 166 is 2

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1. What is the GCD of 146, 682, 334, 166?

GCD of 146, 682, 334, 166 is 2

2. Where do I get the detailed procedure to find GCD of 146, 682, 334, 166?

You can find a detailed procedure to find GCD of 146, 682, 334, 166 on our page.

3. How to find GCD of 146, 682, 334, 166 on a calculator?

You can find the GCD of 146, 682, 334, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.