GCD of 687, 294, 201, 670 Calculator

Given Input numbers are 687, 294, 201, 670

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 670

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

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

Greatest Common Divisior

We found the divisors of 687, 294, 201, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 294, 201, 670 is 1.

Therefore, GCD of numbers 687, 294, 201, 670 is 1

Given Input Data is 687, 294, 201, 670

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 201 is 3 x 67

Prime Factorization of 670 is 2 x 5 x 67

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(687, 294) = 67326

GCD(687, 294) = ( 687 x 294 ) / 67326

GCD(687, 294) = 201978 / 67326

GCD(687, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 201

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

LCM(3, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

GCD(3, 201) = 603 / 201

GCD(3, 201) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 670

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

LCM(3, 670) = 2010

GCD(3, 670) = ( 3 x 670 ) / 2010

GCD(3, 670) = 2010 / 2010

GCD(3, 670) = 1

GCD of 687, 294, 201, 670 is 1

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1. What is the GCD of 687, 294, 201, 670?

GCD of 687, 294, 201, 670 is 1

2. Where do I get the detailed procedure to find GCD of 687, 294, 201, 670?

You can find a detailed procedure to find GCD of 687, 294, 201, 670 on our page.

3. How to find GCD of 687, 294, 201, 670 on a calculator?

You can find the GCD of 687, 294, 201, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.