GCD of 187, 703, 100, 890 Calculator

Given Input numbers are 187, 703, 100, 890

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 187, 703, 100, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 703, 100, 890 is 1.

Therefore, GCD of numbers 187, 703, 100, 890 is 1

Given Input Data is 187, 703, 100, 890

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 703 is 19 x 37

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

Prime Factorization of 890 is 2 x 5 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(187, 703) = 131461

GCD(187, 703) = ( 187 x 703 ) / 131461

GCD(187, 703) = 131461 / 131461

GCD(187, 703) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 187, 703, 100, 890 is 1

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1. What is the GCD of 187, 703, 100, 890?

GCD of 187, 703, 100, 890 is 1

2. Where do I get the detailed procedure to find GCD of 187, 703, 100, 890?

You can find a detailed procedure to find GCD of 187, 703, 100, 890 on our page.

3. How to find GCD of 187, 703, 100, 890 on a calculator?

You can find the GCD of 187, 703, 100, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.