GCD of 676, 142, 626, 338 Calculator

Given Input numbers are 676, 142, 626, 338

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 676, 142, 626, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 142, 626, 338 is 2.

Therefore, GCD of numbers 676, 142, 626, 338 is 2

Given Input Data is 676, 142, 626, 338

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 142 is 2 x 71

Prime Factorization of 626 is 2 x 313

Prime Factorization of 338 is 2 x 13 x 13

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(676, 142) = 47996

GCD(676, 142) = ( 676 x 142 ) / 47996

GCD(676, 142) = 95992 / 47996

GCD(676, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 626

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

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

GCD(2, 626) = 1252 / 626

GCD(2, 626) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

GCD of 676, 142, 626, 338 is 2

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1. What is the GCD of 676, 142, 626, 338?

GCD of 676, 142, 626, 338 is 2

2. Where do I get the detailed procedure to find GCD of 676, 142, 626, 338?

You can find a detailed procedure to find GCD of 676, 142, 626, 338 on our page.

3. How to find GCD of 676, 142, 626, 338 on a calculator?

You can find the GCD of 676, 142, 626, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.