GCD of 100, 582, 710, 504 Calculator

Given Input numbers are 100, 582, 710, 504

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 100, 582, 710, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 582, 710, 504 is 2.

Therefore, GCD of numbers 100, 582, 710, 504 is 2

Given Input Data is 100, 582, 710, 504

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 582 is 2 x 3 x 97

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 582) = 29100

GCD(100, 582) = ( 100 x 582 ) / 29100

GCD(100, 582) = 58200 / 29100

GCD(100, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 710

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

LCM(2, 710) = 710

GCD(2, 710) = ( 2 x 710 ) / 710

GCD(2, 710) = 1420 / 710

GCD(2, 710) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 100, 582, 710, 504 is 2

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1. What is the GCD of 100, 582, 710, 504?

GCD of 100, 582, 710, 504 is 2

2. Where do I get the detailed procedure to find GCD of 100, 582, 710, 504?

You can find a detailed procedure to find GCD of 100, 582, 710, 504 on our page.

3. How to find GCD of 100, 582, 710, 504 on a calculator?

You can find the GCD of 100, 582, 710, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.