GCD of 864, 493, 378, 972 Calculator

Given Input numbers are 864, 493, 378, 972

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 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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

GCD of numbers is the greatest common divisor

So, the GCD (864, 493, 378, 972) = 1.

Given numbers are 864, 493, 378, 972

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 493 are 17 x 29

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

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

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

Given numbers are 864, 493, 378, 972

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

Apply this formula for all numbers.

Step1:

LCM(864, 493) = 425952

GCD(864, 493) = ( 864 x 493 ) / 425952

= 864 / 493

= 864

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 864, 493, 378, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 754, 228, 744
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Given numbers are 864, 493, 378, 972
The greatest common divisor of numbers 864, 493, 378, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 493, 378, 972 is 1.

1. What is the GCD of 864, 493, 378, 972?

GCD of given numbers 864, 493, 378, 972 is 1

2. How to calculate the greatest common divisor of 864, 493, 378, 972?

We can find the highest common divisor of 864, 493, 378, 972 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, 493, 378, 972 i.e 1.

3. How can I use the GCD of 864, 493, 378, 972Calculator?

Out the numbers 864, 493, 378, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.