GCD of 58, 143, 717, 705 Calculator

Given Input numbers are 58, 143, 717, 705

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 58, 143, 717, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 143, 717, 705 is 1.

Therefore, GCD of numbers 58, 143, 717, 705 is 1

Given Input Data is 58, 143, 717, 705

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 143 is 11 x 13

Prime Factorization of 717 is 3 x 239

Prime Factorization of 705 is 3 x 5 x 47

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(58, 143) = 8294

GCD(58, 143) = ( 58 x 143 ) / 8294

GCD(58, 143) = 8294 / 8294

GCD(58, 143) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 58, 143, 717, 705 is 1

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1. What is the GCD of 58, 143, 717, 705?

GCD of 58, 143, 717, 705 is 1

2. Where do I get the detailed procedure to find GCD of 58, 143, 717, 705?

You can find a detailed procedure to find GCD of 58, 143, 717, 705 on our page.

3. How to find GCD of 58, 143, 717, 705 on a calculator?

You can find the GCD of 58, 143, 717, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.