GCD of 917, 882, 83, 108 Calculator

Given Input numbers are 917, 882, 83, 108

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 917, 882, 83, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 882, 83, 108 is 1.

Therefore, GCD of numbers 917, 882, 83, 108 is 1

Given Input Data is 917, 882, 83, 108

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 83 is 83

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(917, 882) = 115542

GCD(917, 882) = ( 917 x 882 ) / 115542

GCD(917, 882) = 808794 / 115542

GCD(917, 882) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 83

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

LCM(7, 83) = 581

GCD(7, 83) = ( 7 x 83 ) / 581

GCD(7, 83) = 581 / 581

GCD(7, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 917, 882, 83, 108 is 1

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• GCD of 560, 799, 33, 569
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1. What is the GCD of 917, 882, 83, 108?

GCD of 917, 882, 83, 108 is 1

2. Where do I get the detailed procedure to find GCD of 917, 882, 83, 108?

You can find a detailed procedure to find GCD of 917, 882, 83, 108 on our page.

3. How to find GCD of 917, 882, 83, 108 on a calculator?

You can find the GCD of 917, 882, 83, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.