GCD of 190, 914, 704 Calculator

Given Input numbers are 190, 914, 704

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 190, 914, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 914, 704 is 2.

Therefore, GCD of numbers 190, 914, 704 is 2

Given Input Data is 190, 914, 704

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 914 is 2 x 457

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(190, 914) = 86830

GCD(190, 914) = ( 190 x 914 ) / 86830

GCD(190, 914) = 173660 / 86830

GCD(190, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 190, 914, 704 is 2

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• GCD of 718, 658, 302
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• GCD of 593, 359, 829

1. What is the GCD of 190, 914, 704?

GCD of 190, 914, 704 is 2

2. Where do I get the detailed procedure to find GCD of 190, 914, 704?

You can find a detailed procedure to find GCD of 190, 914, 704 on our page.

3. How to find GCD of 190, 914, 704 on a calculator?

You can find the GCD of 190, 914, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.