GCD of 669, 271, 49, 830 Calculator

Given Input numbers are 669, 271, 49, 830

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

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 669, 271, 49, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 271, 49, 830 is 1.

Therefore, GCD of numbers 669, 271, 49, 830 is 1

Given Input Data is 669, 271, 49, 830

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

Prime Factorization of 669 is 3 x 223

Prime Factorization of 271 is 271

Prime Factorization of 49 is 7 x 7

Prime Factorization of 830 is 2 x 5 x 83

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(669, 271) = 181299

GCD(669, 271) = ( 669 x 271 ) / 181299

GCD(669, 271) = 181299 / 181299

GCD(669, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 669, 271, 49, 830 is 1

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1. What is the GCD of 669, 271, 49, 830?

GCD of 669, 271, 49, 830 is 1

2. Where do I get the detailed procedure to find GCD of 669, 271, 49, 830?

You can find a detailed procedure to find GCD of 669, 271, 49, 830 on our page.

3. How to find GCD of 669, 271, 49, 830 on a calculator?

You can find the GCD of 669, 271, 49, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.