GCD of 824, 784, 156 Calculator

Given Input numbers are 824, 784, 156

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

Divisors of 824

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

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

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 824, 784, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 784, 156 is 4.

Therefore, GCD of numbers 824, 784, 156 is 4

Given Input Data is 824, 784, 156

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

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

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(824, 784) = 80752

GCD(824, 784) = ( 824 x 784 ) / 80752

GCD(824, 784) = 646016 / 80752

GCD(824, 784) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 156

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

LCM(8, 156) = 312

GCD(8, 156) = ( 8 x 156 ) / 312

GCD(8, 156) = 1248 / 312

GCD(8, 156) = 4

GCD of 824, 784, 156 is 4

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• GCD of 289, 167, 473
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1. What is the GCD of 824, 784, 156?

GCD of 824, 784, 156 is 4

2. Where do I get the detailed procedure to find GCD of 824, 784, 156?

You can find a detailed procedure to find GCD of 824, 784, 156 on our page.

3. How to find GCD of 824, 784, 156 on a calculator?

You can find the GCD of 824, 784, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.