GCD of 995, 171, 59, 704 Calculator

Given Input numbers are 995, 171, 59, 704

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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

Greatest Common Divisior

We found the divisors of 995, 171, 59, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 171, 59, 704 is 1.

Therefore, GCD of numbers 995, 171, 59, 704 is 1

Given Input Data is 995, 171, 59, 704

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 59 is 59

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

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(995, 171) = 170145

GCD(995, 171) = ( 995 x 171 ) / 170145

GCD(995, 171) = 170145 / 170145

GCD(995, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 995, 171, 59, 704 is 1

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1. What is the GCD of 995, 171, 59, 704?

GCD of 995, 171, 59, 704 is 1

2. Where do I get the detailed procedure to find GCD of 995, 171, 59, 704?

You can find a detailed procedure to find GCD of 995, 171, 59, 704 on our page.

3. How to find GCD of 995, 171, 59, 704 on a calculator?

You can find the GCD of 995, 171, 59, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.