GCD of 369, 287, 53, 679 Calculator

Given Input numbers are 369, 287, 53, 679

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 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 369, 287, 53, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 287, 53, 679 is 1.

Therefore, GCD of numbers 369, 287, 53, 679 is 1

Given Input Data is 369, 287, 53, 679

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 287 is 7 x 41

Prime Factorization of 53 is 53

Prime Factorization of 679 is 7 x 97

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, 287) = 2583

GCD(369, 287) = ( 369 x 287 ) / 2583

GCD(369, 287) = 105903 / 2583

GCD(369, 287) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 53

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

LCM(41, 53) = 2173

GCD(41, 53) = ( 41 x 53 ) / 2173

GCD(41, 53) = 2173 / 2173

GCD(41, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 369, 287, 53, 679 is 1

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1. What is the GCD of 369, 287, 53, 679?

GCD of 369, 287, 53, 679 is 1

2. Where do I get the detailed procedure to find GCD of 369, 287, 53, 679?

You can find a detailed procedure to find GCD of 369, 287, 53, 679 on our page.

3. How to find GCD of 369, 287, 53, 679 on a calculator?

You can find the GCD of 369, 287, 53, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.