GCD of 369, 517, 364, 274 Calculator

Given Input numbers are 369, 517, 364, 274

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 369, 517, 364, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 517, 364, 274 is 1.

Therefore, GCD of numbers 369, 517, 364, 274 is 1

Given Input Data is 369, 517, 364, 274

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 517 is 11 x 47

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 274 is 2 x 137

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, 517) = 190773

GCD(369, 517) = ( 369 x 517 ) / 190773

GCD(369, 517) = 190773 / 190773

GCD(369, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 369, 517, 364, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 635, 643, 813
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1. What is the GCD of 369, 517, 364, 274?

GCD of 369, 517, 364, 274 is 1

2. Where do I get the detailed procedure to find GCD of 369, 517, 364, 274?

You can find a detailed procedure to find GCD of 369, 517, 364, 274 on our page.

3. How to find GCD of 369, 517, 364, 274 on a calculator?

You can find the GCD of 369, 517, 364, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.