GCD of 585, 699, 496, 721 Calculator

Given Input numbers are 585, 699, 496, 721

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 (585, 699, 496, 721) = 1.

Given numbers are 585, 699, 496, 721

The list of prime factors of all numbers are

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 699 are 3 x 233

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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 585, 699, 496, 721

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

Apply this formula for all numbers.

Step1:

LCM(585, 699) = 136305

GCD(585, 699) = ( 585 x 699 ) / 136305

= 585 / 699

= 585

Step2:

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

= 3 / 496

= 3

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 585, 699, 496, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 709, 150, 172
• GCD of 541, 421, 620, 153
• GCD of 794, 489, 902, 239
• GCD of 340, 952, 660, 999
• GCD of 958, 485, 673, 663

Given numbers are 585, 699, 496, 721
The greatest common divisor of numbers 585, 699, 496, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 699, 496, 721 is 1.

1. What is the GCD of 585, 699, 496, 721?

GCD of given numbers 585, 699, 496, 721 is 1

2. How to calculate the greatest common divisor of 585, 699, 496, 721?

We can find the highest common divisor of 585, 699, 496, 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 585, 699, 496, 721 i.e 1.

3. How can I use the GCD of 585, 699, 496, 721Calculator?

Out the numbers 585, 699, 496, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.