GCD of 397, 864, 176, 105 Calculator

Given Input numbers are 397, 864, 176, 105

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

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 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (397, 864, 176, 105) = 1.

Given numbers are 397, 864, 176, 105

The list of prime factors of all numbers are

Prime factors of 397 are 397

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

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 397, 864, 176, 105

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

Apply this formula for all numbers.

Step1:

LCM(397, 864) = 343008

GCD(397, 864) = ( 397 x 864 ) / 343008

= 397 / 864

= 397

Step2:

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

= 1 / 176

= 1

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 397, 864, 176, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 823, 827, 426
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• GCD of 670, 614, 220, 220

Given numbers are 397, 864, 176, 105
The greatest common divisor of numbers 397, 864, 176, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 864, 176, 105 is 1.

1. What is the GCD of 397, 864, 176, 105?

GCD of given numbers 397, 864, 176, 105 is 1

2. How to calculate the greatest common divisor of 397, 864, 176, 105?

We can find the highest common divisor of 397, 864, 176, 105 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 397, 864, 176, 105 i.e 1.

3. How can I use the GCD of 397, 864, 176, 105Calculator?

Out the numbers 397, 864, 176, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.