GCD of 363, 305, 779, 725 Calculator

Given Input numbers are 363, 305, 779, 725

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 363, 305, 779, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 305, 779, 725 is 1.

Therefore, GCD of numbers 363, 305, 779, 725 is 1

Given Input Data is 363, 305, 779, 725

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 305 is 5 x 61

Prime Factorization of 779 is 19 x 41

Prime Factorization of 725 is 5 x 5 x 29

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(363, 305) = 110715

GCD(363, 305) = ( 363 x 305 ) / 110715

GCD(363, 305) = 110715 / 110715

GCD(363, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 363, 305, 779, 725 is 1

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• GCD of 869, 349, 787, 541
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1. What is the GCD of 363, 305, 779, 725?

GCD of 363, 305, 779, 725 is 1

2. Where do I get the detailed procedure to find GCD of 363, 305, 779, 725?

You can find a detailed procedure to find GCD of 363, 305, 779, 725 on our page.

3. How to find GCD of 363, 305, 779, 725 on a calculator?

You can find the GCD of 363, 305, 779, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.