GCD of 396, 238, 70, 744 Calculator

Given Input numbers are 396, 238, 70, 744

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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

Greatest Common Divisior

We found the divisors of 396, 238, 70, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 238, 70, 744 is 2.

Therefore, GCD of numbers 396, 238, 70, 744 is 2

Given Input Data is 396, 238, 70, 744

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 70 is 2 x 5 x 7

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

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(396, 238) = 47124

GCD(396, 238) = ( 396 x 238 ) / 47124

GCD(396, 238) = 94248 / 47124

GCD(396, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

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

GCD of 396, 238, 70, 744 is 2

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• GCD of 706, 253, 46, 676
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1. What is the GCD of 396, 238, 70, 744?

GCD of 396, 238, 70, 744 is 2

2. Where do I get the detailed procedure to find GCD of 396, 238, 70, 744?

You can find a detailed procedure to find GCD of 396, 238, 70, 744 on our page.

3. How to find GCD of 396, 238, 70, 744 on a calculator?

You can find the GCD of 396, 238, 70, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.