GCD of 820, 547, 117, 558 Calculator

Given Input numbers are 820, 547, 117, 558

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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 820, 547, 117, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 547, 117, 558 is 1.

Therefore, GCD of numbers 820, 547, 117, 558 is 1

Given Input Data is 820, 547, 117, 558

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 547 is 547

Prime Factorization of 117 is 3 x 3 x 13

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(820, 547) = 448540

GCD(820, 547) = ( 820 x 547 ) / 448540

GCD(820, 547) = 448540 / 448540

GCD(820, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 820, 547, 117, 558 is 1

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1. What is the GCD of 820, 547, 117, 558?

GCD of 820, 547, 117, 558 is 1

2. Where do I get the detailed procedure to find GCD of 820, 547, 117, 558?

You can find a detailed procedure to find GCD of 820, 547, 117, 558 on our page.

3. How to find GCD of 820, 547, 117, 558 on a calculator?

You can find the GCD of 820, 547, 117, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.