GCD of 704, 171, 831, 959 Calculator

Given Input numbers are 704, 171, 831, 959

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

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 171

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

1, 3, 9, 19, 57, 171

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 704, 171, 831, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 171, 831, 959 is 1.

Therefore, GCD of numbers 704, 171, 831, 959 is 1

Given Input Data is 704, 171, 831, 959

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

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 831 is 3 x 277

Prime Factorization of 959 is 7 x 137

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(704, 171) = 120384

GCD(704, 171) = ( 704 x 171 ) / 120384

GCD(704, 171) = 120384 / 120384

GCD(704, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 704, 171, 831, 959 is 1

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1. What is the GCD of 704, 171, 831, 959?

GCD of 704, 171, 831, 959 is 1

2. Where do I get the detailed procedure to find GCD of 704, 171, 831, 959?

You can find a detailed procedure to find GCD of 704, 171, 831, 959 on our page.

3. How to find GCD of 704, 171, 831, 959 on a calculator?

You can find the GCD of 704, 171, 831, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.