GCD of 762, 408, 22, 338 Calculator

Given Input numbers are 762, 408, 22, 338

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 762, 408, 22, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 408, 22, 338 is 2.

Therefore, GCD of numbers 762, 408, 22, 338 is 2

Given Input Data is 762, 408, 22, 338

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 22 is 2 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(762, 408) = 51816

GCD(762, 408) = ( 762 x 408 ) / 51816

GCD(762, 408) = 310896 / 51816

GCD(762, 408) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 22

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

LCM(6, 22) = 66

GCD(6, 22) = ( 6 x 22 ) / 66

GCD(6, 22) = 132 / 66

GCD(6, 22) = 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 762, 408, 22, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 531, 60, 789
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• GCD of 380, 715, 20, 162
• GCD of 169, 348, 73, 639

1. What is the GCD of 762, 408, 22, 338?

GCD of 762, 408, 22, 338 is 2

2. Where do I get the detailed procedure to find GCD of 762, 408, 22, 338?

You can find a detailed procedure to find GCD of 762, 408, 22, 338 on our page.

3. How to find GCD of 762, 408, 22, 338 on a calculator?

You can find the GCD of 762, 408, 22, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.