GCD of 997, 525, 25, 890 Calculator

Given Input numbers are 997, 525, 25, 890

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 997, 525, 25, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 525, 25, 890 is 1.

Therefore, GCD of numbers 997, 525, 25, 890 is 1

Given Input Data is 997, 525, 25, 890

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

Prime Factorization of 997 is 997

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 25 is 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(997, 525) = 523425

GCD(997, 525) = ( 997 x 525 ) / 523425

GCD(997, 525) = 523425 / 523425

GCD(997, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 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 997, 525, 25, 890 is 1

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1. What is the GCD of 997, 525, 25, 890?

GCD of 997, 525, 25, 890 is 1

2. Where do I get the detailed procedure to find GCD of 997, 525, 25, 890?

You can find a detailed procedure to find GCD of 997, 525, 25, 890 on our page.

3. How to find GCD of 997, 525, 25, 890 on a calculator?

You can find the GCD of 997, 525, 25, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.