GCD of 82, 65, 72, 40 Calculator

Given Input numbers are 82, 65, 72, 40

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 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 82, 65, 72, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 65, 72, 40 is 1.

Therefore, GCD of numbers 82, 65, 72, 40 is 1

Given Input Data is 82, 65, 72, 40

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 65 is 5 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 40 is 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

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, 65) = 5330

GCD(82, 65) = ( 82 x 65 ) / 5330

GCD(82, 65) = 5330 / 5330

GCD(82, 65) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

GCD of 82, 65, 72, 40 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 37, 26, 57
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• GCD of 17, 14, 54, 68
• GCD of 25, 21, 74, 64
• GCD of 43, 78, 13, 75

1. What is the GCD of 82, 65, 72, 40?

GCD of 82, 65, 72, 40 is 1

2. Where do I get the detailed procedure to find GCD of 82, 65, 72, 40?

You can find a detailed procedure to find GCD of 82, 65, 72, 40 on our page.

3. How to find GCD of 82, 65, 72, 40 on a calculator?

You can find the GCD of 82, 65, 72, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.