GCD of 374, 361, 708 Calculator

Given Input numbers are 374, 361, 708

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 374, 361, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 361, 708 is 1.

Therefore, GCD of numbers 374, 361, 708 is 1

Given Input Data is 374, 361, 708

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 361 is 19 x 19

Prime Factorization of 708 is 2 x 2 x 3 x 59

The above numbers do not have any common prime factor. So GCD is 1

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(374, 361) = 135014

GCD(374, 361) = ( 374 x 361 ) / 135014

GCD(374, 361) = 135014 / 135014

GCD(374, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 374, 361, 708 is 1

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1. What is the GCD of 374, 361, 708?

GCD of 374, 361, 708 is 1

2. Where do I get the detailed procedure to find GCD of 374, 361, 708?

You can find a detailed procedure to find GCD of 374, 361, 708 on our page.

3. How to find GCD of 374, 361, 708 on a calculator?

You can find the GCD of 374, 361, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.