GCD of 800, 589, 491, 104 Calculator

Given Input numbers are 800, 589, 491, 104

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (800, 589, 491, 104) = 1.

Given numbers are 800, 589, 491, 104

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 589 are 19 x 31

Prime factors of 491 are 491

Prime factors of 104 are 2 x 2 x 2 x 13

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

Given numbers are 800, 589, 491, 104

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

Apply this formula for all numbers.

Step1:

LCM(800, 589) = 471200

GCD(800, 589) = ( 800 x 589 ) / 471200

= 800 / 589

= 800

Step2:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

Step3:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

So, Greatest Common Divisor of 800, 589, 491, 104 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 107, 617, 186
• GCD of 177, 636, 571, 722
• GCD of 708, 236, 501, 923
• GCD of 924, 503, 629, 521
• GCD of 243, 858, 885, 517

Given numbers are 800, 589, 491, 104
The greatest common divisor of numbers 800, 589, 491, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 589, 491, 104 is 1.

1. What is the GCD of 800, 589, 491, 104?

GCD of given numbers 800, 589, 491, 104 is 1

2. How to calculate the greatest common divisor of 800, 589, 491, 104?

We can find the highest common divisor of 800, 589, 491, 104 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 800, 589, 491, 104 i.e 1.

3. How can I use the GCD of 800, 589, 491, 104Calculator?

Out the numbers 800, 589, 491, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.