GCD of 257, 106, 708, 695 Calculator

Given Input numbers are 257, 106, 708, 695

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 257, 106, 708, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 106, 708, 695 is 1.

Therefore, GCD of numbers 257, 106, 708, 695 is 1

Given Input Data is 257, 106, 708, 695

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

Prime Factorization of 257 is 257

Prime Factorization of 106 is 2 x 53

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 695 is 5 x 139

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, 106) = 27242

GCD(257, 106) = ( 257 x 106 ) / 27242

GCD(257, 106) = 27242 / 27242

GCD(257, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 257, 106, 708, 695 is 1

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1. What is the GCD of 257, 106, 708, 695?

GCD of 257, 106, 708, 695 is 1

2. Where do I get the detailed procedure to find GCD of 257, 106, 708, 695?

You can find a detailed procedure to find GCD of 257, 106, 708, 695 on our page.

3. How to find GCD of 257, 106, 708, 695 on a calculator?

You can find the GCD of 257, 106, 708, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.