GCD of 105, 927, 90, 916 Calculator

Given Input numbers are 105, 927, 90, 916

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 105, 927, 90, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 927, 90, 916 is 1.

Therefore, GCD of numbers 105, 927, 90, 916 is 1

Given Input Data is 105, 927, 90, 916

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 916 is 2 x 2 x 229

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(105, 927) = 32445

GCD(105, 927) = ( 105 x 927 ) / 32445

GCD(105, 927) = 97335 / 32445

GCD(105, 927) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 916

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

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

GCD(3, 916) = 2748 / 2748

GCD(3, 916) = 1

GCD of 105, 927, 90, 916 is 1

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• GCD of 652, 837, 35, 393
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1. What is the GCD of 105, 927, 90, 916?

GCD of 105, 927, 90, 916 is 1

2. Where do I get the detailed procedure to find GCD of 105, 927, 90, 916?

You can find a detailed procedure to find GCD of 105, 927, 90, 916 on our page.

3. How to find GCD of 105, 927, 90, 916 on a calculator?

You can find the GCD of 105, 927, 90, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.