GCD of 82, 305, 217, 747 Calculator

Given Input numbers are 82, 305, 217, 747

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 82, 305, 217, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 305, 217, 747 is 1.

Therefore, GCD of numbers 82, 305, 217, 747 is 1

Given Input Data is 82, 305, 217, 747

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 305 is 5 x 61

Prime Factorization of 217 is 7 x 31

Prime Factorization of 747 is 3 x 3 x 83

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, 305) = 25010

GCD(82, 305) = ( 82 x 305 ) / 25010

GCD(82, 305) = 25010 / 25010

GCD(82, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 82, 305, 217, 747 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 360, 246, 124
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• GCD of 46, 634, 592, 633
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• GCD of 70, 756, 419, 981

1. What is the GCD of 82, 305, 217, 747?

GCD of 82, 305, 217, 747 is 1

2. Where do I get the detailed procedure to find GCD of 82, 305, 217, 747?

You can find a detailed procedure to find GCD of 82, 305, 217, 747 on our page.

3. How to find GCD of 82, 305, 217, 747 on a calculator?

You can find the GCD of 82, 305, 217, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.