GCD of 369, 254, 649 Calculator

Given Input numbers are 369, 254, 649

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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 369, 254, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 254, 649 is 1.

Therefore, GCD of numbers 369, 254, 649 is 1

Given Input Data is 369, 254, 649

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 254 is 2 x 127

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(369, 254) = 93726

GCD(369, 254) = ( 369 x 254 ) / 93726

GCD(369, 254) = 93726 / 93726

GCD(369, 254) = 1

Step2:

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 369, 254, 649 is 1

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1. What is the GCD of 369, 254, 649?

GCD of 369, 254, 649 is 1

2. Where do I get the detailed procedure to find GCD of 369, 254, 649?

You can find a detailed procedure to find GCD of 369, 254, 649 on our page.

3. How to find GCD of 369, 254, 649 on a calculator?

You can find the GCD of 369, 254, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.