GCD of 388, 678, 758, 198 Calculator

Given Input numbers are 388, 678, 758, 198

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 388, 678, 758, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 678, 758, 198 is 2.

Therefore, GCD of numbers 388, 678, 758, 198 is 2

Given Input Data is 388, 678, 758, 198

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

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 758 is 2 x 379

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(388, 678) = 131532

GCD(388, 678) = ( 388 x 678 ) / 131532

GCD(388, 678) = 263064 / 131532

GCD(388, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

GCD of 388, 678, 758, 198 is 2

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• GCD of 176, 337, 930, 804
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1. What is the GCD of 388, 678, 758, 198?

GCD of 388, 678, 758, 198 is 2

2. Where do I get the detailed procedure to find GCD of 388, 678, 758, 198?

You can find a detailed procedure to find GCD of 388, 678, 758, 198 on our page.

3. How to find GCD of 388, 678, 758, 198 on a calculator?

You can find the GCD of 388, 678, 758, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.