GCD of 82, 362, 454, 622 Calculator

Given Input numbers are 82, 362, 454, 622

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 82, 362, 454, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 362, 454, 622 is 2.

Therefore, GCD of numbers 82, 362, 454, 622 is 2

Given Input Data is 82, 362, 454, 622

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 362 is 2 x 181

Prime Factorization of 454 is 2 x 227

Prime Factorization of 622 is 2 x 311

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(82, 362) = 14842

GCD(82, 362) = ( 82 x 362 ) / 14842

GCD(82, 362) = 29684 / 14842

GCD(82, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

GCD of 82, 362, 454, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 338, 502, 365
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• GCD of 67, 219, 667, 677
• GCD of 29, 645, 560, 485
• GCD of 64, 123, 480, 784

1. What is the GCD of 82, 362, 454, 622?

GCD of 82, 362, 454, 622 is 2

2. Where do I get the detailed procedure to find GCD of 82, 362, 454, 622?

You can find a detailed procedure to find GCD of 82, 362, 454, 622 on our page.

3. How to find GCD of 82, 362, 454, 622 on a calculator?

You can find the GCD of 82, 362, 454, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.