GCD of 361, 624, 782, 288 Calculator

Given Input numbers are 361, 624, 782, 288

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 361, 624, 782, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 624, 782, 288 is 1.

Therefore, GCD of numbers 361, 624, 782, 288 is 1

Given Input Data is 361, 624, 782, 288

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(361, 624) = 225264

GCD(361, 624) = ( 361 x 624 ) / 225264

GCD(361, 624) = 225264 / 225264

GCD(361, 624) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 361, 624, 782, 288 is 1

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1. What is the GCD of 361, 624, 782, 288?

GCD of 361, 624, 782, 288 is 1

2. Where do I get the detailed procedure to find GCD of 361, 624, 782, 288?

You can find a detailed procedure to find GCD of 361, 624, 782, 288 on our page.

3. How to find GCD of 361, 624, 782, 288 on a calculator?

You can find the GCD of 361, 624, 782, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.