GCD of 892, 432, 894, 364 Calculator

Given Input numbers are 892, 432, 894, 364

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 892, 432, 894, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 432, 894, 364 is 2.

Therefore, GCD of numbers 892, 432, 894, 364 is 2

Given Input Data is 892, 432, 894, 364

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(892, 432) = 96336

GCD(892, 432) = ( 892 x 432 ) / 96336

GCD(892, 432) = 385344 / 96336

GCD(892, 432) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 894

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

LCM(4, 894) = 1788

GCD(4, 894) = ( 4 x 894 ) / 1788

GCD(4, 894) = 3576 / 1788

GCD(4, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 892, 432, 894, 364 is 2

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1. What is the GCD of 892, 432, 894, 364?

GCD of 892, 432, 894, 364 is 2

2. Where do I get the detailed procedure to find GCD of 892, 432, 894, 364?

You can find a detailed procedure to find GCD of 892, 432, 894, 364 on our page.

3. How to find GCD of 892, 432, 894, 364 on a calculator?

You can find the GCD of 892, 432, 894, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.