GCD of 945, 801, 817, 100 Calculator

Given Input numbers are 945, 801, 817, 100

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

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

Greatest Common Divisior

We found the divisors of 945, 801, 817, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 801, 817, 100 is 1.

Therefore, GCD of numbers 945, 801, 817, 100 is 1

Given Input Data is 945, 801, 817, 100

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 817 is 19 x 43

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

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(945, 801) = 84105

GCD(945, 801) = ( 945 x 801 ) / 84105

GCD(945, 801) = 756945 / 84105

GCD(945, 801) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 817

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

LCM(9, 817) = 7353

GCD(9, 817) = ( 9 x 817 ) / 7353

GCD(9, 817) = 7353 / 7353

GCD(9, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 945, 801, 817, 100 is 1

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1. What is the GCD of 945, 801, 817, 100?

GCD of 945, 801, 817, 100 is 1

2. Where do I get the detailed procedure to find GCD of 945, 801, 817, 100?

You can find a detailed procedure to find GCD of 945, 801, 817, 100 on our page.

3. How to find GCD of 945, 801, 817, 100 on a calculator?

You can find the GCD of 945, 801, 817, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.