GCD of 349, 251, 210, 654 Calculator

Given Input numbers are 349, 251, 210, 654

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 349, 251, 210, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 251, 210, 654 is 1.

Therefore, GCD of numbers 349, 251, 210, 654 is 1

Given Input Data is 349, 251, 210, 654

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

Prime Factorization of 349 is 349

Prime Factorization of 251 is 251

Prime Factorization of 210 is 2 x 3 x 5 x 7

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(349, 251) = 87599

GCD(349, 251) = ( 349 x 251 ) / 87599

GCD(349, 251) = 87599 / 87599

GCD(349, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 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 349, 251, 210, 654 is 1

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1. What is the GCD of 349, 251, 210, 654?

GCD of 349, 251, 210, 654 is 1

2. Where do I get the detailed procedure to find GCD of 349, 251, 210, 654?

You can find a detailed procedure to find GCD of 349, 251, 210, 654 on our page.

3. How to find GCD of 349, 251, 210, 654 on a calculator?

You can find the GCD of 349, 251, 210, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.