GCD of 890, 725, 97, 872 Calculator

Given Input numbers are 890, 725, 97, 872

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

Divisors of 890

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

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 890, 725, 97, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 725, 97, 872 is 1.

Therefore, GCD of numbers 890, 725, 97, 872 is 1

Given Input Data is 890, 725, 97, 872

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 97 is 97

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(890, 725) = 129050

GCD(890, 725) = ( 890 x 725 ) / 129050

GCD(890, 725) = 645250 / 129050

GCD(890, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 97

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

LCM(5, 97) = 485

GCD(5, 97) = ( 5 x 97 ) / 485

GCD(5, 97) = 485 / 485

GCD(5, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 890, 725, 97, 872 is 1

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1. What is the GCD of 890, 725, 97, 872?

GCD of 890, 725, 97, 872 is 1

2. Where do I get the detailed procedure to find GCD of 890, 725, 97, 872?

You can find a detailed procedure to find GCD of 890, 725, 97, 872 on our page.

3. How to find GCD of 890, 725, 97, 872 on a calculator?

You can find the GCD of 890, 725, 97, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.