GCD of 807, 100, 42, 659 Calculator

Given Input numbers are 807, 100, 42, 659

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 807, 100, 42, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 100, 42, 659 is 1.

Therefore, GCD of numbers 807, 100, 42, 659 is 1

Given Input Data is 807, 100, 42, 659

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

Prime Factorization of 807 is 3 x 269

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 659 is 659

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(807, 100) = 80700

GCD(807, 100) = ( 807 x 100 ) / 80700

GCD(807, 100) = 80700 / 80700

GCD(807, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 807, 100, 42, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 872, 92, 995
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• GCD of 503, 657, 84, 823

1. What is the GCD of 807, 100, 42, 659?

GCD of 807, 100, 42, 659 is 1

2. Where do I get the detailed procedure to find GCD of 807, 100, 42, 659?

You can find a detailed procedure to find GCD of 807, 100, 42, 659 on our page.

3. How to find GCD of 807, 100, 42, 659 on a calculator?

You can find the GCD of 807, 100, 42, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.