GCD of 108, 953, 83, 918 Calculator

Given Input numbers are 108, 953, 83, 918

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

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 83

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

1, 83

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 108, 953, 83, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 953, 83, 918 is 1.

Therefore, GCD of numbers 108, 953, 83, 918 is 1

Given Input Data is 108, 953, 83, 918

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

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

Prime Factorization of 953 is 953

Prime Factorization of 83 is 83

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(108, 953) = 102924

GCD(108, 953) = ( 108 x 953 ) / 102924

GCD(108, 953) = 102924 / 102924

GCD(108, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 108, 953, 83, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 513, 83, 802
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• GCD of 848, 115, 16, 520

1. What is the GCD of 108, 953, 83, 918?

GCD of 108, 953, 83, 918 is 1

2. Where do I get the detailed procedure to find GCD of 108, 953, 83, 918?

You can find a detailed procedure to find GCD of 108, 953, 83, 918 on our page.

3. How to find GCD of 108, 953, 83, 918 on a calculator?

You can find the GCD of 108, 953, 83, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.