GCD of 100, 811, 289, 979 Calculator

Given Input numbers are 100, 811, 289, 979

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 811

List of positive integer divisors of 811 that divides 811 without a remainder.

1, 811

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 100, 811, 289, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 811, 289, 979 is 1.

Therefore, GCD of numbers 100, 811, 289, 979 is 1

Given Input Data is 100, 811, 289, 979

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 811 is 811

Prime Factorization of 289 is 17 x 17

Prime Factorization of 979 is 11 x 89

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(100, 811) = 81100

GCD(100, 811) = ( 100 x 811 ) / 81100

GCD(100, 811) = 81100 / 81100

GCD(100, 811) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 979

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

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

GCD(1, 979) = 979 / 979

GCD(1, 979) = 1

GCD of 100, 811, 289, 979 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 368, 970, 131
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1. What is the GCD of 100, 811, 289, 979?

GCD of 100, 811, 289, 979 is 1

2. Where do I get the detailed procedure to find GCD of 100, 811, 289, 979?

You can find a detailed procedure to find GCD of 100, 811, 289, 979 on our page.

3. How to find GCD of 100, 811, 289, 979 on a calculator?

You can find the GCD of 100, 811, 289, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.