GCD of 82, 632, 646, 446 Calculator

Given Input numbers are 82, 632, 646, 446

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 82, 632, 646, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 632, 646, 446 is 2.

Therefore, GCD of numbers 82, 632, 646, 446 is 2

Given Input Data is 82, 632, 646, 446

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 446 is 2 x 223

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, 632) = 25912

GCD(82, 632) = ( 82 x 632 ) / 25912

GCD(82, 632) = 51824 / 25912

GCD(82, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 82, 632, 646, 446 is 2

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• GCD of 57, 798, 111, 780
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• GCD of 10, 324, 924, 926

1. What is the GCD of 82, 632, 646, 446?

GCD of 82, 632, 646, 446 is 2

2. Where do I get the detailed procedure to find GCD of 82, 632, 646, 446?

You can find a detailed procedure to find GCD of 82, 632, 646, 446 on our page.

3. How to find GCD of 82, 632, 646, 446 on a calculator?

You can find the GCD of 82, 632, 646, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.