GCD of 16, 343, 314, 138 Calculator

Given Input numbers are 16, 343, 314, 138

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

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 16, 343, 314, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 343, 314, 138 is 1.

Therefore, GCD of numbers 16, 343, 314, 138 is 1

Given Input Data is 16, 343, 314, 138

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

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 314 is 2 x 157

Prime Factorization of 138 is 2 x 3 x 23

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(16, 343) = 5488

GCD(16, 343) = ( 16 x 343 ) / 5488

GCD(16, 343) = 5488 / 5488

GCD(16, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 16, 343, 314, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 994, 291, 593
• GCD of 96, 841, 848, 754
• GCD of 58, 712, 374, 900
• GCD of 55, 103, 130, 520
• GCD of 94, 510, 161, 213

1. What is the GCD of 16, 343, 314, 138?

GCD of 16, 343, 314, 138 is 1

2. Where do I get the detailed procedure to find GCD of 16, 343, 314, 138?

You can find a detailed procedure to find GCD of 16, 343, 314, 138 on our page.

3. How to find GCD of 16, 343, 314, 138 on a calculator?

You can find the GCD of 16, 343, 314, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.