GCD of 805, 489, 360, 716 Calculator

Given Input numbers are 805, 489, 360, 716

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

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 (805, 489, 360, 716) = 1.

Given numbers are 805, 489, 360, 716

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

Prime factors of 489 are 3 x 163

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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 805, 489, 360, 716

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

Apply this formula for all numbers.

Step1:

LCM(805, 489) = 393645

GCD(805, 489) = ( 805 x 489 ) / 393645

= 805 / 489

= 805

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 716) = 716

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

= 1 / 716

= 1

So, Greatest Common Divisor of 805, 489, 360, 716 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 456, 582, 234
• GCD of 971, 110, 463, 797
• GCD of 151, 726, 671, 610
• GCD of 933, 589, 843, 939
• GCD of 824, 406, 843, 271

Given numbers are 805, 489, 360, 716
The greatest common divisor of numbers 805, 489, 360, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 489, 360, 716 is 1.

1. What is the GCD of 805, 489, 360, 716?

GCD of given numbers 805, 489, 360, 716 is 1

2. How to calculate the greatest common divisor of 805, 489, 360, 716?

We can find the highest common divisor of 805, 489, 360, 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 805, 489, 360, 716 i.e 1.

3. How can I use the GCD of 805, 489, 360, 716Calculator?

Out the numbers 805, 489, 360, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.