GCD of 349, 412, 182, 649 Calculator

Given Input numbers are 349, 412, 182, 649

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 349, 412, 182, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 412, 182, 649 is 1.

Therefore, GCD of numbers 349, 412, 182, 649 is 1

Given Input Data is 349, 412, 182, 649

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

Prime Factorization of 349 is 349

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 649 is 11 x 59

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, 412) = 143788

GCD(349, 412) = ( 349 x 412 ) / 143788

GCD(349, 412) = 143788 / 143788

GCD(349, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 349, 412, 182, 649 is 1

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1. What is the GCD of 349, 412, 182, 649?

GCD of 349, 412, 182, 649 is 1

2. Where do I get the detailed procedure to find GCD of 349, 412, 182, 649?

You can find a detailed procedure to find GCD of 349, 412, 182, 649 on our page.

3. How to find GCD of 349, 412, 182, 649 on a calculator?

You can find the GCD of 349, 412, 182, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.