GCD of 364, 408, 892, 864 Calculator

Given Input numbers are 364, 408, 892, 864

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

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 364, 408, 892, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 408, 892, 864 is 4.

Therefore, GCD of numbers 364, 408, 892, 864 is 4

Given Input Data is 364, 408, 892, 864

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

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(364, 408) = 37128

GCD(364, 408) = ( 364 x 408 ) / 37128

GCD(364, 408) = 148512 / 37128

GCD(364, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 892

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

LCM(4, 892) = 892

GCD(4, 892) = ( 4 x 892 ) / 892

GCD(4, 892) = 3568 / 892

GCD(4, 892) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 864

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

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

GCD(4, 864) = 3456 / 864

GCD(4, 864) = 4

GCD of 364, 408, 892, 864 is 4

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1. What is the GCD of 364, 408, 892, 864?

GCD of 364, 408, 892, 864 is 4

2. Where do I get the detailed procedure to find GCD of 364, 408, 892, 864?

You can find a detailed procedure to find GCD of 364, 408, 892, 864 on our page.

3. How to find GCD of 364, 408, 892, 864 on a calculator?

You can find the GCD of 364, 408, 892, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.