GCD of 585, 160, 796, 984 Calculator

Given Input numbers are 585, 160, 796, 984

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (585, 160, 796, 984) = 1.

Given numbers are 585, 160, 796, 984

The list of prime factors of all numbers are

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 796 are 2 x 2 x 199

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 585, 160, 796, 984

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

Apply this formula for all numbers.

Step1:

LCM(585, 160) = 18720

GCD(585, 160) = ( 585 x 160 ) / 18720

= 585 / 160

= 585

Step2:

LCM(5, 796) = 3980

GCD(5, 796) = ( 5 x 796 ) / 3980

= 5 / 796

= 5

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 585, 160, 796, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 141, 240, 894
• GCD of 882, 880, 376, 221
• GCD of 994, 322, 316, 367
• GCD of 534, 668, 981, 880
• GCD of 746, 759, 707, 563

Given numbers are 585, 160, 796, 984
The greatest common divisor of numbers 585, 160, 796, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 160, 796, 984 is 1.

1. What is the GCD of 585, 160, 796, 984?

GCD of given numbers 585, 160, 796, 984 is 1

2. How to calculate the greatest common divisor of 585, 160, 796, 984?

We can find the highest common divisor of 585, 160, 796, 984 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, 160, 796, 984 i.e 1.

3. How can I use the GCD of 585, 160, 796, 984Calculator?

Out the numbers 585, 160, 796, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.