GCD of 398, 960, 891, 585 Calculator

Given Input numbers are 398, 960, 891, 585

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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

GCD of numbers is the greatest common divisor

So, the GCD (398, 960, 891, 585) = 1.

Given numbers are 398, 960, 891, 585

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

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

Given numbers are 398, 960, 891, 585

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

Apply this formula for all numbers.

Step1:

LCM(398, 960) = 191040

GCD(398, 960) = ( 398 x 960 ) / 191040

= 398 / 960

= 398

Step2:

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

= 2 / 891

= 2

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 398, 960, 891, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 677, 804, 932
• GCD of 184, 593, 982, 925
• GCD of 568, 724, 775, 744
• GCD of 391, 925, 268, 138
• GCD of 124, 965, 394, 532

Given numbers are 398, 960, 891, 585
The greatest common divisor of numbers 398, 960, 891, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 960, 891, 585 is 1.

1. What is the GCD of 398, 960, 891, 585?

GCD of given numbers 398, 960, 891, 585 is 1

2. How to calculate the greatest common divisor of 398, 960, 891, 585?

We can find the highest common divisor of 398, 960, 891, 585 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 398, 960, 891, 585 i.e 1.

3. How can I use the GCD of 398, 960, 891, 585Calculator?

Out the numbers 398, 960, 891, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.