GCD of 505, 728, 421, 494 Calculator

Given Input numbers are 505, 728, 421, 494

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

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 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (505, 728, 421, 494) = 1.

Given numbers are 505, 728, 421, 494

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

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

Prime factors of 421 are 421

Prime factors of 494 are 2 x 13 x 19

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

Given numbers are 505, 728, 421, 494

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

Apply this formula for all numbers.

Step1:

LCM(505, 728) = 367640

GCD(505, 728) = ( 505 x 728 ) / 367640

= 505 / 728

= 505

Step2:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

Step3:

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

= 1 / 494

= 1

So, Greatest Common Divisor of 505, 728, 421, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 562, 968, 653
• GCD of 388, 443, 247, 561
• GCD of 676, 660, 819, 439
• GCD of 636, 531, 197, 795
• GCD of 807, 348, 985, 233

Given numbers are 505, 728, 421, 494
The greatest common divisor of numbers 505, 728, 421, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 728, 421, 494 is 1.

1. What is the GCD of 505, 728, 421, 494?

GCD of given numbers 505, 728, 421, 494 is 1

2. How to calculate the greatest common divisor of 505, 728, 421, 494?

We can find the highest common divisor of 505, 728, 421, 494 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 505, 728, 421, 494 i.e 1.

3. How can I use the GCD of 505, 728, 421, 494Calculator?

Out the numbers 505, 728, 421, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.