GCD of 188, 902, 46, 724 Calculator

Given Input numbers are 188, 902, 46, 724

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 188, 902, 46, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 902, 46, 724 is 2.

Therefore, GCD of numbers 188, 902, 46, 724 is 2

Given Input Data is 188, 902, 46, 724

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

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 46 is 2 x 23

Prime Factorization of 724 is 2 x 2 x 181

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(188, 902) = 84788

GCD(188, 902) = ( 188 x 902 ) / 84788

GCD(188, 902) = 169576 / 84788

GCD(188, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 188, 902, 46, 724 is 2

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1. What is the GCD of 188, 902, 46, 724?

GCD of 188, 902, 46, 724 is 2

2. Where do I get the detailed procedure to find GCD of 188, 902, 46, 724?

You can find a detailed procedure to find GCD of 188, 902, 46, 724 on our page.

3. How to find GCD of 188, 902, 46, 724 on a calculator?

You can find the GCD of 188, 902, 46, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.