GCD of 553, 958, 84, 717 Calculator

Given Input numbers are 553, 958, 84, 717

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 717

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

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 553, 958, 84, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 958, 84, 717 is 1.

Therefore, GCD of numbers 553, 958, 84, 717 is 1

Given Input Data is 553, 958, 84, 717

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 958 is 2 x 479

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 717 is 3 x 239

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(553, 958) = 529774

GCD(553, 958) = ( 553 x 958 ) / 529774

GCD(553, 958) = 529774 / 529774

GCD(553, 958) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

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

GCD of 553, 958, 84, 717 is 1

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1. What is the GCD of 553, 958, 84, 717?

GCD of 553, 958, 84, 717 is 1

2. Where do I get the detailed procedure to find GCD of 553, 958, 84, 717?

You can find a detailed procedure to find GCD of 553, 958, 84, 717 on our page.

3. How to find GCD of 553, 958, 84, 717 on a calculator?

You can find the GCD of 553, 958, 84, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.