GCD of 188, 496, 46, 788 Calculator

Given Input numbers are 188, 496, 46, 788

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 46

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

1, 2, 23, 46

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 188, 496, 46, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 496, 46, 788 is 2.

Therefore, GCD of numbers 188, 496, 46, 788 is 2

Given Input Data is 188, 496, 46, 788

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 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 46 is 2 x 23

Prime Factorization of 788 is 2 x 2 x 197

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, 496) = 23312

GCD(188, 496) = ( 188 x 496 ) / 23312

GCD(188, 496) = 93248 / 23312

GCD(188, 496) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 46

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

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

GCD(4, 46) = 184 / 92

GCD(4, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 188, 496, 46, 788 is 2

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• GCD of 590, 236, 77, 892
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• GCD of 246, 963, 55, 949
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• GCD of 545, 549, 56, 201

1. What is the GCD of 188, 496, 46, 788?

GCD of 188, 496, 46, 788 is 2

2. Where do I get the detailed procedure to find GCD of 188, 496, 46, 788?

You can find a detailed procedure to find GCD of 188, 496, 46, 788 on our page.

3. How to find GCD of 188, 496, 46, 788 on a calculator?

You can find the GCD of 188, 496, 46, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.