GCD of 997, 102, 915, 697 Calculator

Given Input numbers are 997, 102, 915, 697

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 997, 102, 915, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 102, 915, 697 is 1.

Therefore, GCD of numbers 997, 102, 915, 697 is 1

Given Input Data is 997, 102, 915, 697

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

Prime Factorization of 997 is 997

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 697 is 17 x 41

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, 102) = 101694

GCD(997, 102) = ( 997 x 102 ) / 101694

GCD(997, 102) = 101694 / 101694

GCD(997, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 997, 102, 915, 697 is 1

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1. What is the GCD of 997, 102, 915, 697?

GCD of 997, 102, 915, 697 is 1

2. Where do I get the detailed procedure to find GCD of 997, 102, 915, 697?

You can find a detailed procedure to find GCD of 997, 102, 915, 697 on our page.

3. How to find GCD of 997, 102, 915, 697 on a calculator?

You can find the GCD of 997, 102, 915, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.