GCD of 910, 955, 100, 873 Calculator

Given Input numbers are 910, 955, 100, 873

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 910, 955, 100, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 955, 100, 873 is 1.

Therefore, GCD of numbers 910, 955, 100, 873 is 1

Given Input Data is 910, 955, 100, 873

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 955 is 5 x 191

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

Prime Factorization of 873 is 3 x 3 x 97

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(910, 955) = 173810

GCD(910, 955) = ( 910 x 955 ) / 173810

GCD(910, 955) = 869050 / 173810

GCD(910, 955) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 100

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

LCM(5, 100) = 100

GCD(5, 100) = ( 5 x 100 ) / 100

GCD(5, 100) = 500 / 100

GCD(5, 100) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 873

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

LCM(5, 873) = 4365

GCD(5, 873) = ( 5 x 873 ) / 4365

GCD(5, 873) = 4365 / 4365

GCD(5, 873) = 1

GCD of 910, 955, 100, 873 is 1

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1. What is the GCD of 910, 955, 100, 873?

GCD of 910, 955, 100, 873 is 1

2. Where do I get the detailed procedure to find GCD of 910, 955, 100, 873?

You can find a detailed procedure to find GCD of 910, 955, 100, 873 on our page.

3. How to find GCD of 910, 955, 100, 873 on a calculator?

You can find the GCD of 910, 955, 100, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.