GCD of 159, 691, 458, 716 Calculator

Given Input numbers are 159, 691, 458, 716

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 159, 691, 458, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 691, 458, 716 is 1.

Therefore, GCD of numbers 159, 691, 458, 716 is 1

Given Input Data is 159, 691, 458, 716

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 691 is 691

Prime Factorization of 458 is 2 x 229

Prime Factorization of 716 is 2 x 2 x 179

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(159, 691) = 109869

GCD(159, 691) = ( 159 x 691 ) / 109869

GCD(159, 691) = 109869 / 109869

GCD(159, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 159, 691, 458, 716 is 1

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1. What is the GCD of 159, 691, 458, 716?

GCD of 159, 691, 458, 716 is 1

2. Where do I get the detailed procedure to find GCD of 159, 691, 458, 716?

You can find a detailed procedure to find GCD of 159, 691, 458, 716 on our page.

3. How to find GCD of 159, 691, 458, 716 on a calculator?

You can find the GCD of 159, 691, 458, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.