GCD of 784, 372, 178 Calculator

Given Input numbers are 784, 372, 178

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

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 784, 372, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 784, 372, 178 is 2.

Therefore, GCD of numbers 784, 372, 178 is 2

Given Input Data is 784, 372, 178

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

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 178 is 2 x 89

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(784, 372) = 72912

GCD(784, 372) = ( 784 x 372 ) / 72912

GCD(784, 372) = 291648 / 72912

GCD(784, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 178

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

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

GCD(4, 178) = 712 / 356

GCD(4, 178) = 2

GCD of 784, 372, 178 is 2

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• GCD of 347, 424, 546
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1. What is the GCD of 784, 372, 178?

GCD of 784, 372, 178 is 2

2. Where do I get the detailed procedure to find GCD of 784, 372, 178?

You can find a detailed procedure to find GCD of 784, 372, 178 on our page.

3. How to find GCD of 784, 372, 178 on a calculator?

You can find the GCD of 784, 372, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.