GCD of 670, 285, 361 Calculator

Given Input numbers are 670, 285, 361

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

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 361

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

1, 19, 361

Greatest Common Divisior

We found the divisors of 670, 285, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 285, 361 is 1.

Therefore, GCD of numbers 670, 285, 361 is 1

Given Input Data is 670, 285, 361

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

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 361 is 19 x 19

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(670, 285) = 38190

GCD(670, 285) = ( 670 x 285 ) / 38190

GCD(670, 285) = 190950 / 38190

GCD(670, 285) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 361

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

LCM(5, 361) = 1805

GCD(5, 361) = ( 5 x 361 ) / 1805

GCD(5, 361) = 1805 / 1805

GCD(5, 361) = 1

GCD of 670, 285, 361 is 1

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1. What is the GCD of 670, 285, 361?

GCD of 670, 285, 361 is 1

2. Where do I get the detailed procedure to find GCD of 670, 285, 361?

You can find a detailed procedure to find GCD of 670, 285, 361 on our page.

3. How to find GCD of 670, 285, 361 on a calculator?

You can find the GCD of 670, 285, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.