GCD of 513, 984, 360, 242 Calculator

Given Input numbers are 513, 984, 360, 242

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 513, 984, 360, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 984, 360, 242 is 1.

Therefore, GCD of numbers 513, 984, 360, 242 is 1

Given Input Data is 513, 984, 360, 242

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 242 is 2 x 11 x 11

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(513, 984) = 168264

GCD(513, 984) = ( 513 x 984 ) / 168264

GCD(513, 984) = 504792 / 168264

GCD(513, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 360

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

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

GCD(3, 360) = 1080 / 360

GCD(3, 360) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 242

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

LCM(3, 242) = 726

GCD(3, 242) = ( 3 x 242 ) / 726

GCD(3, 242) = 726 / 726

GCD(3, 242) = 1

GCD of 513, 984, 360, 242 is 1

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1. What is the GCD of 513, 984, 360, 242?

GCD of 513, 984, 360, 242 is 1

2. Where do I get the detailed procedure to find GCD of 513, 984, 360, 242?

You can find a detailed procedure to find GCD of 513, 984, 360, 242 on our page.

3. How to find GCD of 513, 984, 360, 242 on a calculator?

You can find the GCD of 513, 984, 360, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.