GCD of 426, 534, 864, 824 Calculator

Given Input numbers are 426, 534, 864, 824

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 426, 534, 864, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 534, 864, 824 is 2.

Therefore, GCD of numbers 426, 534, 864, 824 is 2

Given Input Data is 426, 534, 864, 824

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 534 is 2 x 3 x 89

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(426, 534) = 37914

GCD(426, 534) = ( 426 x 534 ) / 37914

GCD(426, 534) = 227484 / 37914

GCD(426, 534) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 864

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

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

GCD(6, 864) = 5184 / 864

GCD(6, 864) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 824

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

LCM(6, 824) = 2472

GCD(6, 824) = ( 6 x 824 ) / 2472

GCD(6, 824) = 4944 / 2472

GCD(6, 824) = 2

GCD of 426, 534, 864, 824 is 2

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1. What is the GCD of 426, 534, 864, 824?

GCD of 426, 534, 864, 824 is 2

2. Where do I get the detailed procedure to find GCD of 426, 534, 864, 824?

You can find a detailed procedure to find GCD of 426, 534, 864, 824 on our page.

3. How to find GCD of 426, 534, 864, 824 on a calculator?

You can find the GCD of 426, 534, 864, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.