GCD of 788, 358, 144, 784 Calculator

Given Input numbers are 788, 358, 144, 784

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

Greatest Common Divisior

We found the divisors of 788, 358, 144, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 358, 144, 784 is 2.

Therefore, GCD of numbers 788, 358, 144, 784 is 2

Given Input Data is 788, 358, 144, 784

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 358 is 2 x 179

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

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(788, 358) = 141052

GCD(788, 358) = ( 788 x 358 ) / 141052

GCD(788, 358) = 282104 / 141052

GCD(788, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

GCD of 788, 358, 144, 784 is 2

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1. What is the GCD of 788, 358, 144, 784?

GCD of 788, 358, 144, 784 is 2

2. Where do I get the detailed procedure to find GCD of 788, 358, 144, 784?

You can find a detailed procedure to find GCD of 788, 358, 144, 784 on our page.

3. How to find GCD of 788, 358, 144, 784 on a calculator?

You can find the GCD of 788, 358, 144, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.