GCD of 234, 614, 894, 996 Calculator

Given Input numbers are 234, 614, 894, 996

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 234, 614, 894, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 614, 894, 996 is 2.

Therefore, GCD of numbers 234, 614, 894, 996 is 2

Given Input Data is 234, 614, 894, 996

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 614 is 2 x 307

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(234, 614) = 71838

GCD(234, 614) = ( 234 x 614 ) / 71838

GCD(234, 614) = 143676 / 71838

GCD(234, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 996

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

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

GCD(2, 996) = 1992 / 996

GCD(2, 996) = 2

GCD of 234, 614, 894, 996 is 2

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• GCD of 473, 395, 653, 417
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• GCD of 633, 496, 234, 622

1. What is the GCD of 234, 614, 894, 996?

GCD of 234, 614, 894, 996 is 2

2. Where do I get the detailed procedure to find GCD of 234, 614, 894, 996?

You can find a detailed procedure to find GCD of 234, 614, 894, 996 on our page.

3. How to find GCD of 234, 614, 894, 996 on a calculator?

You can find the GCD of 234, 614, 894, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.