GCD of 746, 675, 793, 864 Calculator

Given Input numbers are 746, 675, 793, 864

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

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

GCD of numbers is the greatest common divisor

So, the GCD (746, 675, 793, 864) = 1.

Given numbers are 746, 675, 793, 864

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 793 are 13 x 61

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

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

Given numbers are 746, 675, 793, 864

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

Apply this formula for all numbers.

Step1:

LCM(746, 675) = 503550

GCD(746, 675) = ( 746 x 675 ) / 503550

= 746 / 675

= 746

Step2:

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

= 1 / 793

= 1

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 746, 675, 793, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 265, 577, 341
• GCD of 406, 901, 233, 208
• GCD of 143, 407, 490, 914
• GCD of 570, 591, 141, 139
• GCD of 327, 412, 334, 174

Given numbers are 746, 675, 793, 864
The greatest common divisor of numbers 746, 675, 793, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 675, 793, 864 is 1.

1. What is the GCD of 746, 675, 793, 864?

GCD of given numbers 746, 675, 793, 864 is 1

2. How to calculate the greatest common divisor of 746, 675, 793, 864?

We can find the highest common divisor of 746, 675, 793, 864 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 746, 675, 793, 864 i.e 1.

3. How can I use the GCD of 746, 675, 793, 864Calculator?

Out the numbers 746, 675, 793, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.