GCD of 316, 465, 14, 346 Calculator

Given Input numbers are 316, 465, 14, 346

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 316, 465, 14, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 465, 14, 346 is 1.

Therefore, GCD of numbers 316, 465, 14, 346 is 1

Given Input Data is 316, 465, 14, 346

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 14 is 2 x 7

Prime Factorization of 346 is 2 x 173

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(316, 465) = 146940

GCD(316, 465) = ( 316 x 465 ) / 146940

GCD(316, 465) = 146940 / 146940

GCD(316, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

GCD of 316, 465, 14, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 275, 82, 115
• GCD of 655, 115, 14, 338
• GCD of 747, 340, 72, 415
• GCD of 258, 687, 91, 225
• GCD of 312, 840, 66, 430

1. What is the GCD of 316, 465, 14, 346?

GCD of 316, 465, 14, 346 is 1

2. Where do I get the detailed procedure to find GCD of 316, 465, 14, 346?

You can find a detailed procedure to find GCD of 316, 465, 14, 346 on our page.

3. How to find GCD of 316, 465, 14, 346 on a calculator?

You can find the GCD of 316, 465, 14, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.