GCD of 345, 725, 728, 404 Calculator

Given Input numbers are 345, 725, 728, 404

In the factoring method, we have to find the divisors of all numbers

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (345, 725, 728, 404) = 1.

Given numbers are 345, 725, 728, 404

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 725 are 5 x 5 x 29

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 404 are 2 x 2 x 101

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 345, 725, 728, 404

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(345, 725) = 50025

GCD(345, 725) = ( 345 x 725 ) / 50025

= 345 / 725

= 345

Step2:

LCM(5, 728) = 3640

GCD(5, 728) = ( 5 x 728 ) / 3640

= 5 / 728

= 5

Step3:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1

So, Greatest Common Divisor of 345, 725, 728, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 621, 237, 359
• GCD of 342, 492, 346, 586
• GCD of 547, 179, 225, 836
• GCD of 477, 400, 994, 568
• GCD of 687, 780, 548, 959

Given numbers are 345, 725, 728, 404
The greatest common divisor of numbers 345, 725, 728, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 725, 728, 404 is 1.

1. What is the GCD of 345, 725, 728, 404?

GCD of given numbers 345, 725, 728, 404 is 1

2. How to calculate the greatest common divisor of 345, 725, 728, 404?

We can find the highest common divisor of 345, 725, 728, 404 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 345, 725, 728, 404 i.e 1.

3. How can I use the GCD of 345, 725, 728, 404Calculator?

Out the numbers 345, 725, 728, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.