GCD of 116, 361, 784, 814 Calculator

Given Input numbers are 116, 361, 784, 814

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 814 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (116, 361, 784, 814) = 1.

Given numbers are 116, 361, 784, 814

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 361 are 19 x 19

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 116, 361, 784, 814

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

Apply this formula for all numbers.

Step1:

LCM(116, 361) = 41876

GCD(116, 361) = ( 116 x 361 ) / 41876

= 116 / 361

= 116

Step2:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 116, 361, 784, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 434, 166, 549
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• GCD of 287, 389, 397, 299
• GCD of 173, 729, 589, 644
• GCD of 215, 718, 198, 529

Given numbers are 116, 361, 784, 814
The greatest common divisor of numbers 116, 361, 784, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 361, 784, 814 is 1.

1. What is the GCD of 116, 361, 784, 814?

GCD of given numbers 116, 361, 784, 814 is 1

2. How to calculate the greatest common divisor of 116, 361, 784, 814?

We can find the highest common divisor of 116, 361, 784, 814 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 116, 361, 784, 814 i.e 1.

3. How can I use the GCD of 116, 361, 784, 814Calculator?

Out the numbers 116, 361, 784, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.