GCD of 363, 504, 460, 716 Calculator

Given Input numbers are 363, 504, 460, 716

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (363, 504, 460, 716) = 1.

Given numbers are 363, 504, 460, 716

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 716 are 2 x 2 x 179

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

Given numbers are 363, 504, 460, 716

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

Apply this formula for all numbers.

Step1:

LCM(363, 504) = 60984

GCD(363, 504) = ( 363 x 504 ) / 60984

= 363 / 504

= 363

Step2:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3

Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1

So, Greatest Common Divisor of 363, 504, 460, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 204, 663, 921
• GCD of 251, 391, 609, 303
• GCD of 928, 794, 858, 237
• GCD of 545, 649, 952, 855
• GCD of 233, 116, 521, 648

Given numbers are 363, 504, 460, 716
The greatest common divisor of numbers 363, 504, 460, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 504, 460, 716 is 1.

1. What is the GCD of 363, 504, 460, 716?

GCD of given numbers 363, 504, 460, 716 is 1

2. How to calculate the greatest common divisor of 363, 504, 460, 716?

We can find the highest common divisor of 363, 504, 460, 716 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 363, 504, 460, 716 i.e 1.

3. How can I use the GCD of 363, 504, 460, 716Calculator?

Out the numbers 363, 504, 460, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.