GCD of 171, 291, 758, 957 Calculator

Given Input numbers are 171, 291, 758, 957

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 171, 291, 758, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 291, 758, 957 is 1.

Therefore, GCD of numbers 171, 291, 758, 957 is 1

Given Input Data is 171, 291, 758, 957

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 291 is 3 x 97

Prime Factorization of 758 is 2 x 379

Prime Factorization of 957 is 3 x 11 x 29

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(171, 291) = 16587

GCD(171, 291) = ( 171 x 291 ) / 16587

GCD(171, 291) = 49761 / 16587

GCD(171, 291) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 758

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

LCM(3, 758) = 2274

GCD(3, 758) = ( 3 x 758 ) / 2274

GCD(3, 758) = 2274 / 2274

GCD(3, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 171, 291, 758, 957 is 1

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1. What is the GCD of 171, 291, 758, 957?

GCD of 171, 291, 758, 957 is 1

2. Where do I get the detailed procedure to find GCD of 171, 291, 758, 957?

You can find a detailed procedure to find GCD of 171, 291, 758, 957 on our page.

3. How to find GCD of 171, 291, 758, 957 on a calculator?

You can find the GCD of 171, 291, 758, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.