GCD of 257, 659, 741, 200 Calculator

Given Input numbers are 257, 659, 741, 200

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 257, 659, 741, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 659, 741, 200 is 1.

Therefore, GCD of numbers 257, 659, 741, 200 is 1

Given Input Data is 257, 659, 741, 200

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

Prime Factorization of 257 is 257

Prime Factorization of 659 is 659

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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, 659) = 169363

GCD(257, 659) = ( 257 x 659 ) / 169363

GCD(257, 659) = 169363 / 169363

GCD(257, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 257, 659, 741, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 292, 418, 954
• GCD of 723, 740, 446, 266
• GCD of 882, 307, 357, 173
• GCD of 653, 540, 437, 399
• GCD of 594, 688, 623, 188

1. What is the GCD of 257, 659, 741, 200?

GCD of 257, 659, 741, 200 is 1

2. Where do I get the detailed procedure to find GCD of 257, 659, 741, 200?

You can find a detailed procedure to find GCD of 257, 659, 741, 200 on our page.

3. How to find GCD of 257, 659, 741, 200 on a calculator?

You can find the GCD of 257, 659, 741, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.