GCD of 370, 684, 744, 198 Calculator

Given Input numbers are 370, 684, 744, 198

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 370, 684, 744, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 684, 744, 198 is 2.

Therefore, GCD of numbers 370, 684, 744, 198 is 2

Given Input Data is 370, 684, 744, 198

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(370, 684) = 126540

GCD(370, 684) = ( 370 x 684 ) / 126540

GCD(370, 684) = 253080 / 126540

GCD(370, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 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 370, 684, 744, 198 is 2

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1. What is the GCD of 370, 684, 744, 198?

GCD of 370, 684, 744, 198 is 2

2. Where do I get the detailed procedure to find GCD of 370, 684, 744, 198?

You can find a detailed procedure to find GCD of 370, 684, 744, 198 on our page.

3. How to find GCD of 370, 684, 744, 198 on a calculator?

You can find the GCD of 370, 684, 744, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.