GCD of 257, 628, 40, 965 Calculator

Given Input numbers are 257, 628, 40, 965

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 965

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

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 257, 628, 40, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 628, 40, 965 is 1.

Therefore, GCD of numbers 257, 628, 40, 965 is 1

Given Input Data is 257, 628, 40, 965

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

Prime Factorization of 257 is 257

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 965 is 5 x 193

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, 628) = 161396

GCD(257, 628) = ( 257 x 628 ) / 161396

GCD(257, 628) = 161396 / 161396

GCD(257, 628) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

GCD of 257, 628, 40, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 978, 55, 621
• GCD of 265, 751, 99, 205
• GCD of 174, 503, 25, 458
• GCD of 441, 794, 25, 816
• GCD of 770, 840, 19, 192

1. What is the GCD of 257, 628, 40, 965?

GCD of 257, 628, 40, 965 is 1

2. Where do I get the detailed procedure to find GCD of 257, 628, 40, 965?

You can find a detailed procedure to find GCD of 257, 628, 40, 965 on our page.

3. How to find GCD of 257, 628, 40, 965 on a calculator?

You can find the GCD of 257, 628, 40, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.