GCD of 100, 779, 22, 558 Calculator

Given Input numbers are 100, 779, 22, 558

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 100, 779, 22, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 779, 22, 558 is 1.

Therefore, GCD of numbers 100, 779, 22, 558 is 1

Given Input Data is 100, 779, 22, 558

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 779 is 19 x 41

Prime Factorization of 22 is 2 x 11

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(100, 779) = 77900

GCD(100, 779) = ( 100 x 779 ) / 77900

GCD(100, 779) = 77900 / 77900

GCD(100, 779) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 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 100, 779, 22, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 863, 10, 873
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• GCD of 597, 267, 95, 949

1. What is the GCD of 100, 779, 22, 558?

GCD of 100, 779, 22, 558 is 1

2. Where do I get the detailed procedure to find GCD of 100, 779, 22, 558?

You can find a detailed procedure to find GCD of 100, 779, 22, 558 on our page.

3. How to find GCD of 100, 779, 22, 558 on a calculator?

You can find the GCD of 100, 779, 22, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.