GCD of 997, 704, 176, 597 Calculator

Given Input numbers are 997, 704, 176, 597

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 997, 704, 176, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 704, 176, 597 is 1.

Therefore, GCD of numbers 997, 704, 176, 597 is 1

Given Input Data is 997, 704, 176, 597

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

Prime Factorization of 997 is 997

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 597 is 3 x 199

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, 704) = 701888

GCD(997, 704) = ( 997 x 704 ) / 701888

GCD(997, 704) = 701888 / 701888

GCD(997, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 997, 704, 176, 597 is 1

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1. What is the GCD of 997, 704, 176, 597?

GCD of 997, 704, 176, 597 is 1

2. Where do I get the detailed procedure to find GCD of 997, 704, 176, 597?

You can find a detailed procedure to find GCD of 997, 704, 176, 597 on our page.

3. How to find GCD of 997, 704, 176, 597 on a calculator?

You can find the GCD of 997, 704, 176, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.