GCD of 257, 677, 16, 627 Calculator

Given Input numbers are 257, 677, 16, 627

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 257, 677, 16, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 677, 16, 627 is 1.

Therefore, GCD of numbers 257, 677, 16, 627 is 1

Given Input Data is 257, 677, 16, 627

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

Prime Factorization of 257 is 257

Prime Factorization of 677 is 677

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 627 is 3 x 11 x 19

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, 677) = 173989

GCD(257, 677) = ( 257 x 677 ) / 173989

GCD(257, 677) = 173989 / 173989

GCD(257, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 257, 677, 16, 627 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 596, 49, 686
• GCD of 989, 304, 80, 506
• GCD of 944, 872, 20, 726
• GCD of 932, 351, 16, 541
• GCD of 954, 629, 60, 959

1. What is the GCD of 257, 677, 16, 627?

GCD of 257, 677, 16, 627 is 1

2. Where do I get the detailed procedure to find GCD of 257, 677, 16, 627?

You can find a detailed procedure to find GCD of 257, 677, 16, 627 on our page.

3. How to find GCD of 257, 677, 16, 627 on a calculator?

You can find the GCD of 257, 677, 16, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.