GCD of 304, 696, 410, 370 Calculator

Given Input numbers are 304, 696, 410, 370

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 304, 696, 410, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 696, 410, 370 is 2.

Therefore, GCD of numbers 304, 696, 410, 370 is 2

Given Input Data is 304, 696, 410, 370

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 370 is 2 x 5 x 37

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(304, 696) = 26448

GCD(304, 696) = ( 304 x 696 ) / 26448

GCD(304, 696) = 211584 / 26448

GCD(304, 696) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 410

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

LCM(8, 410) = 1640

GCD(8, 410) = ( 8 x 410 ) / 1640

GCD(8, 410) = 3280 / 1640

GCD(8, 410) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 304, 696, 410, 370 is 2

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1. What is the GCD of 304, 696, 410, 370?

GCD of 304, 696, 410, 370 is 2

2. Where do I get the detailed procedure to find GCD of 304, 696, 410, 370?

You can find a detailed procedure to find GCD of 304, 696, 410, 370 on our page.

3. How to find GCD of 304, 696, 410, 370 on a calculator?

You can find the GCD of 304, 696, 410, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.