GCD of 257, 312, 357, 521 Calculator

Given Input numbers are 257, 312, 357, 521

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 257, 312, 357, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 312, 357, 521 is 1.

Therefore, GCD of numbers 257, 312, 357, 521 is 1

Given Input Data is 257, 312, 357, 521

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

Prime Factorization of 257 is 257

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 521 is 521

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, 312) = 80184

GCD(257, 312) = ( 257 x 312 ) / 80184

GCD(257, 312) = 80184 / 80184

GCD(257, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 257, 312, 357, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 255, 880, 940
• GCD of 502, 185, 742, 181
• GCD of 673, 382, 999, 933
• GCD of 917, 603, 616, 385
• GCD of 145, 688, 708, 746

1. What is the GCD of 257, 312, 357, 521?

GCD of 257, 312, 357, 521 is 1

2. Where do I get the detailed procedure to find GCD of 257, 312, 357, 521?

You can find a detailed procedure to find GCD of 257, 312, 357, 521 on our page.

3. How to find GCD of 257, 312, 357, 521 on a calculator?

You can find the GCD of 257, 312, 357, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.