GCD of 68, 972, 396, 338 Calculator

Given Input numbers are 68, 972, 396, 338

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 68, 972, 396, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 972, 396, 338 is 2.

Therefore, GCD of numbers 68, 972, 396, 338 is 2

Given Input Data is 68, 972, 396, 338

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(68, 972) = 16524

GCD(68, 972) = ( 68 x 972 ) / 16524

GCD(68, 972) = 66096 / 16524

GCD(68, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 396

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

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

GCD(4, 396) = 1584 / 396

GCD(4, 396) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 338

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

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

GCD(4, 338) = 1352 / 676

GCD(4, 338) = 2

GCD of 68, 972, 396, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 581, 514, 177
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• GCD of 40, 143, 439, 898
• GCD of 84, 783, 387, 603
• GCD of 67, 403, 617, 588

1. What is the GCD of 68, 972, 396, 338?

GCD of 68, 972, 396, 338 is 2

2. Where do I get the detailed procedure to find GCD of 68, 972, 396, 338?

You can find a detailed procedure to find GCD of 68, 972, 396, 338 on our page.

3. How to find GCD of 68, 972, 396, 338 on a calculator?

You can find the GCD of 68, 972, 396, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.