GCD of 362, 518, 361, 763 Calculator

Given Input numbers are 362, 518, 361, 763

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 361

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

1, 19, 361

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 362, 518, 361, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 518, 361, 763 is 1.

Therefore, GCD of numbers 362, 518, 361, 763 is 1

Given Input Data is 362, 518, 361, 763

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 361 is 19 x 19

Prime Factorization of 763 is 7 x 109

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(362, 518) = 93758

GCD(362, 518) = ( 362 x 518 ) / 93758

GCD(362, 518) = 187516 / 93758

GCD(362, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 362, 518, 361, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 671, 420, 392
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1. What is the GCD of 362, 518, 361, 763?

GCD of 362, 518, 361, 763 is 1

2. Where do I get the detailed procedure to find GCD of 362, 518, 361, 763?

You can find a detailed procedure to find GCD of 362, 518, 361, 763 on our page.

3. How to find GCD of 362, 518, 361, 763 on a calculator?

You can find the GCD of 362, 518, 361, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.