GCD of 100, 592, 72, 492 Calculator

Given Input numbers are 100, 592, 72, 492

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 592

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

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 100, 592, 72, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 592, 72, 492 is 4.

Therefore, GCD of numbers 100, 592, 72, 492 is 4

Given Input Data is 100, 592, 72, 492

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 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 492 is 2 x 2 x 3 x 41

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 592) = 14800

GCD(100, 592) = ( 100 x 592 ) / 14800

GCD(100, 592) = 59200 / 14800

GCD(100, 592) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 492

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

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

GCD(4, 492) = 1968 / 492

GCD(4, 492) = 4

GCD of 100, 592, 72, 492 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 997, 64, 853
• GCD of 659, 908, 11, 778
• GCD of 744, 606, 67, 874
• GCD of 646, 981, 64, 319
• GCD of 282, 515, 72, 230

1. What is the GCD of 100, 592, 72, 492?

GCD of 100, 592, 72, 492 is 4

2. Where do I get the detailed procedure to find GCD of 100, 592, 72, 492?

You can find a detailed procedure to find GCD of 100, 592, 72, 492 on our page.

3. How to find GCD of 100, 592, 72, 492 on a calculator?

You can find the GCD of 100, 592, 72, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.