GCD of 674, 229, 214, 654 Calculator

Given Input numbers are 674, 229, 214, 654

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 674, 229, 214, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 229, 214, 654 is 1.

Therefore, GCD of numbers 674, 229, 214, 654 is 1

Given Input Data is 674, 229, 214, 654

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 229 is 229

Prime Factorization of 214 is 2 x 107

Prime Factorization of 654 is 2 x 3 x 109

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(674, 229) = 154346

GCD(674, 229) = ( 674 x 229 ) / 154346

GCD(674, 229) = 154346 / 154346

GCD(674, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 674, 229, 214, 654 is 1

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1. What is the GCD of 674, 229, 214, 654?

GCD of 674, 229, 214, 654 is 1

2. Where do I get the detailed procedure to find GCD of 674, 229, 214, 654?

You can find a detailed procedure to find GCD of 674, 229, 214, 654 on our page.

3. How to find GCD of 674, 229, 214, 654 on a calculator?

You can find the GCD of 674, 229, 214, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.