GCD of 176, 426, 100, 572 Calculator

Given Input numbers are 176, 426, 100, 572

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 176, 426, 100, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 426, 100, 572 is 2.

Therefore, GCD of numbers 176, 426, 100, 572 is 2

Given Input Data is 176, 426, 100, 572

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 426 is 2 x 3 x 71

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(176, 426) = 37488

GCD(176, 426) = ( 176 x 426 ) / 37488

GCD(176, 426) = 74976 / 37488

GCD(176, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 176, 426, 100, 572 is 2

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1. What is the GCD of 176, 426, 100, 572?

GCD of 176, 426, 100, 572 is 2

2. Where do I get the detailed procedure to find GCD of 176, 426, 100, 572?

You can find a detailed procedure to find GCD of 176, 426, 100, 572 on our page.

3. How to find GCD of 176, 426, 100, 572 on a calculator?

You can find the GCD of 176, 426, 100, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.