GCD of 361, 374, 16, 385 Calculator

Given Input numbers are 361, 374, 16, 385

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 361, 374, 16, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 374, 16, 385 is 1.

Therefore, GCD of numbers 361, 374, 16, 385 is 1

Given Input Data is 361, 374, 16, 385

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 361 is 19 x 19

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 385 is 5 x 7 x 11

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(361, 374) = 135014

GCD(361, 374) = ( 361 x 374 ) / 135014

GCD(361, 374) = 135014 / 135014

GCD(361, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 361, 374, 16, 385 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 246, 38, 694
• GCD of 430, 479, 11, 850
• GCD of 181, 858, 64, 243
• GCD of 955, 729, 55, 895
• GCD of 628, 656, 36, 171

1. What is the GCD of 361, 374, 16, 385?

GCD of 361, 374, 16, 385 is 1

2. Where do I get the detailed procedure to find GCD of 361, 374, 16, 385?

You can find a detailed procedure to find GCD of 361, 374, 16, 385 on our page.

3. How to find GCD of 361, 374, 16, 385 on a calculator?

You can find the GCD of 361, 374, 16, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.