GCD of 558, 557, 726, 959 Calculator

Given Input numbers are 558, 557, 726, 959

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

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

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 558, 557, 726, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 557, 726, 959 is 1.

Therefore, GCD of numbers 558, 557, 726, 959 is 1

Given Input Data is 558, 557, 726, 959

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

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

Prime Factorization of 557 is 557

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 959 is 7 x 137

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(558, 557) = 310806

GCD(558, 557) = ( 558 x 557 ) / 310806

GCD(558, 557) = 310806 / 310806

GCD(558, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 558, 557, 726, 959 is 1

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1. What is the GCD of 558, 557, 726, 959?

GCD of 558, 557, 726, 959 is 1

2. Where do I get the detailed procedure to find GCD of 558, 557, 726, 959?

You can find a detailed procedure to find GCD of 558, 557, 726, 959 on our page.

3. How to find GCD of 558, 557, 726, 959 on a calculator?

You can find the GCD of 558, 557, 726, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.