GCD of 205, 678, 134, 134 Calculator

Given Input numbers are 205, 678, 134, 134

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 134

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

1, 2, 67, 134

Divisors of 134

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

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 205, 678, 134, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 678, 134, 134 is 1.

Therefore, GCD of numbers 205, 678, 134, 134 is 1

Given Input Data is 205, 678, 134, 134

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 134 is 2 x 67

Prime Factorization of 134 is 2 x 67

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(205, 678) = 138990

GCD(205, 678) = ( 205 x 678 ) / 138990

GCD(205, 678) = 138990 / 138990

GCD(205, 678) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 205, 678, 134, 134 is 1

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1. What is the GCD of 205, 678, 134, 134?

GCD of 205, 678, 134, 134 is 1

2. Where do I get the detailed procedure to find GCD of 205, 678, 134, 134?

You can find a detailed procedure to find GCD of 205, 678, 134, 134 on our page.

3. How to find GCD of 205, 678, 134, 134 on a calculator?

You can find the GCD of 205, 678, 134, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.