GCD of 817, 864, 972, 119 Calculator

Given Input numbers are 817, 864, 972, 119

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

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

GCD of numbers is the greatest common divisor

So, the GCD (817, 864, 972, 119) = 1.

Given numbers are 817, 864, 972, 119

The list of prime factors of all numbers are

Prime factors of 817 are 19 x 43

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 119 are 7 x 17

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

Given numbers are 817, 864, 972, 119

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

Apply this formula for all numbers.

Step1:

LCM(817, 864) = 705888

GCD(817, 864) = ( 817 x 864 ) / 705888

= 817 / 864

= 817

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1

So, Greatest Common Divisor of 817, 864, 972, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 137, 938, 349
• GCD of 975, 237, 760, 135
• GCD of 961, 990, 493, 283
• GCD of 751, 848, 756, 666
• GCD of 149, 973, 328, 663

Given numbers are 817, 864, 972, 119
The greatest common divisor of numbers 817, 864, 972, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 817, 864, 972, 119 is 1.

1. What is the GCD of 817, 864, 972, 119?

GCD of given numbers 817, 864, 972, 119 is 1

2. How to calculate the greatest common divisor of 817, 864, 972, 119?

We can find the highest common divisor of 817, 864, 972, 119 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 817, 864, 972, 119 i.e 1.

3. How can I use the GCD of 817, 864, 972, 119Calculator?

Out the numbers 817, 864, 972, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.