GCD of 110, 816, 95, 989 Calculator

Given Input numbers are 110, 816, 95, 989

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 110, 816, 95, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 816, 95, 989 is 1.

Therefore, GCD of numbers 110, 816, 95, 989 is 1

Given Input Data is 110, 816, 95, 989

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 95 is 5 x 19

Prime Factorization of 989 is 23 x 43

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(110, 816) = 44880

GCD(110, 816) = ( 110 x 816 ) / 44880

GCD(110, 816) = 89760 / 44880

GCD(110, 816) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 110, 816, 95, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 528, 43, 557
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• GCD of 740, 396, 54, 211
• GCD of 745, 398, 25, 768
• GCD of 896, 616, 18, 459

1. What is the GCD of 110, 816, 95, 989?

GCD of 110, 816, 95, 989 is 1

2. Where do I get the detailed procedure to find GCD of 110, 816, 95, 989?

You can find a detailed procedure to find GCD of 110, 816, 95, 989 on our page.

3. How to find GCD of 110, 816, 95, 989 on a calculator?

You can find the GCD of 110, 816, 95, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.