GCD of 504, 112, 318, 721 Calculator

Given Input numbers are 504, 112, 318, 721

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

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (504, 112, 318, 721) = 1.

Given numbers are 504, 112, 318, 721

The list of prime factors of all numbers are

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 318 are 2 x 3 x 53

Prime factors of 721 are 7 x 103

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

Given numbers are 504, 112, 318, 721

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

Apply this formula for all numbers.

Step1:

LCM(504, 112) = 1008

GCD(504, 112) = ( 504 x 112 ) / 1008

= 504 / 112

= 504

Step2:

LCM(56, 318) = 8904

GCD(56, 318) = ( 56 x 318 ) / 8904

= 56 / 318

= 56

Step3:

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

= 2 / 721

= 2

So, Greatest Common Divisor of 504, 112, 318, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 171, 605, 537
• GCD of 397, 505, 297, 106
• GCD of 237, 861, 747, 379
• GCD of 514, 691, 735, 761
• GCD of 995, 156, 171, 812

Given numbers are 504, 112, 318, 721
The greatest common divisor of numbers 504, 112, 318, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 112, 318, 721 is 1.

1. What is the GCD of 504, 112, 318, 721?

GCD of given numbers 504, 112, 318, 721 is 1

2. How to calculate the greatest common divisor of 504, 112, 318, 721?

We can find the highest common divisor of 504, 112, 318, 721 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 504, 112, 318, 721 i.e 1.

3. How can I use the GCD of 504, 112, 318, 721Calculator?

Out the numbers 504, 112, 318, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.