GCD of 254, 965, 205, 218 Calculator

Given Input numbers are 254, 965, 205, 218

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 205

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

1, 5, 41, 205

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 254, 965, 205, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 965, 205, 218 is 1.

Therefore, GCD of numbers 254, 965, 205, 218 is 1

Given Input Data is 254, 965, 205, 218

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 965 is 5 x 193

Prime Factorization of 205 is 5 x 41

Prime Factorization of 218 is 2 x 109

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(254, 965) = 245110

GCD(254, 965) = ( 254 x 965 ) / 245110

GCD(254, 965) = 245110 / 245110

GCD(254, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 254, 965, 205, 218 is 1

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1. What is the GCD of 254, 965, 205, 218?

GCD of 254, 965, 205, 218 is 1

2. Where do I get the detailed procedure to find GCD of 254, 965, 205, 218?

You can find a detailed procedure to find GCD of 254, 965, 205, 218 on our page.

3. How to find GCD of 254, 965, 205, 218 on a calculator?

You can find the GCD of 254, 965, 205, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.