GCD of 188, 736, 82, 688 Calculator

Given Input numbers are 188, 736, 82, 688

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 188, 736, 82, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 736, 82, 688 is 2.

Therefore, GCD of numbers 188, 736, 82, 688 is 2

Given Input Data is 188, 736, 82, 688

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 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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, 736) = 34592

GCD(188, 736) = ( 188 x 736 ) / 34592

GCD(188, 736) = 138368 / 34592

GCD(188, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 82

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

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

GCD(4, 82) = 328 / 164

GCD(4, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 188, 736, 82, 688 is 2

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• GCD of 518, 776, 59, 461
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• GCD of 668, 400, 62, 800

1. What is the GCD of 188, 736, 82, 688?

GCD of 188, 736, 82, 688 is 2

2. Where do I get the detailed procedure to find GCD of 188, 736, 82, 688?

You can find a detailed procedure to find GCD of 188, 736, 82, 688 on our page.

3. How to find GCD of 188, 736, 82, 688 on a calculator?

You can find the GCD of 188, 736, 82, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.