GCD of 314, 376, 34, 205 Calculator

Given Input numbers are 314, 376, 34, 205

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 314, 376, 34, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 376, 34, 205 is 1.

Therefore, GCD of numbers 314, 376, 34, 205 is 1

Given Input Data is 314, 376, 34, 205

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 34 is 2 x 17

Prime Factorization of 205 is 5 x 41

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(314, 376) = 59032

GCD(314, 376) = ( 314 x 376 ) / 59032

GCD(314, 376) = 118064 / 59032

GCD(314, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

GCD of 314, 376, 34, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 621, 13, 907
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• GCD of 632, 373, 99, 723
• GCD of 700, 464, 17, 200
• GCD of 460, 141, 25, 779

1. What is the GCD of 314, 376, 34, 205?

GCD of 314, 376, 34, 205 is 1

2. Where do I get the detailed procedure to find GCD of 314, 376, 34, 205?

You can find a detailed procedure to find GCD of 314, 376, 34, 205 on our page.

3. How to find GCD of 314, 376, 34, 205 on a calculator?

You can find the GCD of 314, 376, 34, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.