GCD of 134, 214, 863, 308 Calculator

Given Input numbers are 134, 214, 863, 308

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 134, 214, 863, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 214, 863, 308 is 1.

Therefore, GCD of numbers 134, 214, 863, 308 is 1

Given Input Data is 134, 214, 863, 308

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 214 is 2 x 107

Prime Factorization of 863 is 863

Prime Factorization of 308 is 2 x 2 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(134, 214) = 14338

GCD(134, 214) = ( 134 x 214 ) / 14338

GCD(134, 214) = 28676 / 14338

GCD(134, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 863

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

LCM(2, 863) = 1726

GCD(2, 863) = ( 2 x 863 ) / 1726

GCD(2, 863) = 1726 / 1726

GCD(2, 863) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 134, 214, 863, 308 is 1

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1. What is the GCD of 134, 214, 863, 308?

GCD of 134, 214, 863, 308 is 1

2. Where do I get the detailed procedure to find GCD of 134, 214, 863, 308?

You can find a detailed procedure to find GCD of 134, 214, 863, 308 on our page.

3. How to find GCD of 134, 214, 863, 308 on a calculator?

You can find the GCD of 134, 214, 863, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.