GCD of 707, 217, 558 Calculator

Given Input numbers are 707, 217, 558

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 707, 217, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 217, 558 is 1.

Therefore, GCD of numbers 707, 217, 558 is 1

Given Input Data is 707, 217, 558

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 217 is 7 x 31

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(707, 217) = 21917

GCD(707, 217) = ( 707 x 217 ) / 21917

GCD(707, 217) = 153419 / 21917

GCD(707, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 558

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

LCM(7, 558) = 3906

GCD(7, 558) = ( 7 x 558 ) / 3906

GCD(7, 558) = 3906 / 3906

GCD(7, 558) = 1

GCD of 707, 217, 558 is 1

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1. What is the GCD of 707, 217, 558?

GCD of 707, 217, 558 is 1

2. Where do I get the detailed procedure to find GCD of 707, 217, 558?

You can find a detailed procedure to find GCD of 707, 217, 558 on our page.

3. How to find GCD of 707, 217, 558 on a calculator?

You can find the GCD of 707, 217, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.