GCD of 257, 646, 34, 145 Calculator

Given Input numbers are 257, 646, 34, 145

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 34

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

1, 2, 17, 34

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 257, 646, 34, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 646, 34, 145 is 1.

Therefore, GCD of numbers 257, 646, 34, 145 is 1

Given Input Data is 257, 646, 34, 145

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

Prime Factorization of 257 is 257

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 34 is 2 x 17

Prime Factorization of 145 is 5 x 29

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(257, 646) = 166022

GCD(257, 646) = ( 257 x 646 ) / 166022

GCD(257, 646) = 166022 / 166022

GCD(257, 646) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 257, 646, 34, 145 is 1

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• GCD of 672, 808, 45, 201
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1. What is the GCD of 257, 646, 34, 145?

GCD of 257, 646, 34, 145 is 1

2. Where do I get the detailed procedure to find GCD of 257, 646, 34, 145?

You can find a detailed procedure to find GCD of 257, 646, 34, 145 on our page.

3. How to find GCD of 257, 646, 34, 145 on a calculator?

You can find the GCD of 257, 646, 34, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.