GCD of 100, 182, 919, 592 Calculator

Given Input numbers are 100, 182, 919, 592

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 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 100, 182, 919, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 182, 919, 592 is 1.

Therefore, GCD of numbers 100, 182, 919, 592 is 1

Given Input Data is 100, 182, 919, 592

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 182 is 2 x 7 x 13

Prime Factorization of 919 is 919

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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, 182) = 9100

GCD(100, 182) = ( 100 x 182 ) / 9100

GCD(100, 182) = 18200 / 9100

GCD(100, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 100, 182, 919, 592 is 1

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1. What is the GCD of 100, 182, 919, 592?

GCD of 100, 182, 919, 592 is 1

2. Where do I get the detailed procedure to find GCD of 100, 182, 919, 592?

You can find a detailed procedure to find GCD of 100, 182, 919, 592 on our page.

3. How to find GCD of 100, 182, 919, 592 on a calculator?

You can find the GCD of 100, 182, 919, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.