GCD of 807, 898, 10, 171 Calculator

Given Input numbers are 807, 898, 10, 171

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 807, 898, 10, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 898, 10, 171 is 1.

Therefore, GCD of numbers 807, 898, 10, 171 is 1

Given Input Data is 807, 898, 10, 171

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 898 is 2 x 449

Prime Factorization of 10 is 2 x 5

Prime Factorization of 171 is 3 x 3 x 19

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, 898) = 724686

GCD(807, 898) = ( 807 x 898 ) / 724686

GCD(807, 898) = 724686 / 724686

GCD(807, 898) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 807, 898, 10, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 305, 54, 916
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• GCD of 287, 370, 56, 703

1. What is the GCD of 807, 898, 10, 171?

GCD of 807, 898, 10, 171 is 1

2. Where do I get the detailed procedure to find GCD of 807, 898, 10, 171?

You can find a detailed procedure to find GCD of 807, 898, 10, 171 on our page.

3. How to find GCD of 807, 898, 10, 171 on a calculator?

You can find the GCD of 807, 898, 10, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.