GCD of 916, 328, 814, 867 Calculator

Given Input numbers are 916, 328, 814, 867

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (916, 328, 814, 867) = 1.

Given numbers are 916, 328, 814, 867

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 814 are 2 x 11 x 37

Prime factors of 867 are 3 x 17 x 17

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

Given numbers are 916, 328, 814, 867

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

Apply this formula for all numbers.

Step1:

LCM(916, 328) = 75112

GCD(916, 328) = ( 916 x 328 ) / 75112

= 916 / 328

= 916

Step2:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4

Step3:

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

= 2 / 867

= 2

So, Greatest Common Divisor of 916, 328, 814, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 414, 197, 358
• GCD of 784, 699, 888, 525
• GCD of 376, 877, 960, 642
• GCD of 342, 973, 661, 853
• GCD of 236, 458, 937, 207

Given numbers are 916, 328, 814, 867
The greatest common divisor of numbers 916, 328, 814, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 328, 814, 867 is 1.

1. What is the GCD of 916, 328, 814, 867?

GCD of given numbers 916, 328, 814, 867 is 1

2. How to calculate the greatest common divisor of 916, 328, 814, 867?

We can find the highest common divisor of 916, 328, 814, 867 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 916, 328, 814, 867 i.e 1.

3. How can I use the GCD of 916, 328, 814, 867Calculator?

Out the numbers 916, 328, 814, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.