GCD of 864, 310, 698, 973 Calculator

Given Input numbers are 864, 310, 698, 973

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (864, 310, 698, 973) = 1.

Given numbers are 864, 310, 698, 973

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 698 are 2 x 349

Prime factors of 973 are 7 x 139

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

Given numbers are 864, 310, 698, 973

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, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

= 2 / 973

= 2

So, Greatest Common Divisor of 864, 310, 698, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 847, 645, 365
• GCD of 527, 603, 842, 621
• GCD of 644, 796, 269, 575
• GCD of 356, 874, 260, 435
• GCD of 854, 850, 546, 913

Given numbers are 864, 310, 698, 973
The greatest common divisor of numbers 864, 310, 698, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 310, 698, 973 is 1.

1. What is the GCD of 864, 310, 698, 973?

GCD of given numbers 864, 310, 698, 973 is 1

2. How to calculate the greatest common divisor of 864, 310, 698, 973?

We can find the highest common divisor of 864, 310, 698, 973 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, 698, 973 i.e 1.

3. How can I use the GCD of 864, 310, 698, 973Calculator?

Out the numbers 864, 310, 698, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.