GCD of 814, 350, 162, 361 Calculator

Given Input numbers are 814, 350, 162, 361

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

Divisors of 814 :

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

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 361 :

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

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (814, 350, 162, 361) = 1.

Given numbers are 814, 350, 162, 361

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 361 are 19 x 19

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

Given numbers are 814, 350, 162, 361

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

Apply this formula for all numbers.

Step1:

LCM(814, 350) = 142450

GCD(814, 350) = ( 814 x 350 ) / 142450

= 814 / 350

= 814

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

So, Greatest Common Divisor of 814, 350, 162, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 679, 656, 815
• GCD of 647, 695, 263, 416
• GCD of 613, 411, 622, 733
• GCD of 261, 390, 667, 945
• GCD of 922, 586, 711, 655

Given numbers are 814, 350, 162, 361
The greatest common divisor of numbers 814, 350, 162, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 350, 162, 361 is 1.

1. What is the GCD of 814, 350, 162, 361?

GCD of given numbers 814, 350, 162, 361 is 1

2. How to calculate the greatest common divisor of 814, 350, 162, 361?

We can find the highest common divisor of 814, 350, 162, 361 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 814, 350, 162, 361 i.e 1.

3. How can I use the GCD of 814, 350, 162, 361Calculator?

Out the numbers 814, 350, 162, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.