GCD of 864, 310, 509, 842 Calculator

Given Input numbers are 864, 310, 509, 842

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (864, 310, 509, 842) = 1.

Given numbers are 864, 310, 509, 842

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 310 are 2 x 5 x 31

Prime factors of 509 are 509

Prime factors of 842 are 2 x 421

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

Given numbers are 864, 310, 509, 842

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

Apply this formula for all numbers.

Step1:

LCM(864, 310) = 133920

GCD(864, 310) = ( 864 x 310 ) / 133920

= 864 / 310

= 864

Step2:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

Step3:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

So, Greatest Common Divisor of 864, 310, 509, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 580, 297, 474
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Given numbers are 864, 310, 509, 842
The greatest common divisor of numbers 864, 310, 509, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 310, 509, 842 is 1.

1. What is the GCD of 864, 310, 509, 842?

GCD of given numbers 864, 310, 509, 842 is 1

2. How to calculate the greatest common divisor of 864, 310, 509, 842?

We can find the highest common divisor of 864, 310, 509, 842 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 864, 310, 509, 842 i.e 1.

3. How can I use the GCD of 864, 310, 509, 842Calculator?

Out the numbers 864, 310, 509, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.