GCD of 361, 788, 50, 253 Calculator

Given Input numbers are 361, 788, 50, 253

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 361, 788, 50, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 788, 50, 253 is 1.

Therefore, GCD of numbers 361, 788, 50, 253 is 1

Given Input Data is 361, 788, 50, 253

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 253 is 11 x 23

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(361, 788) = 284468

GCD(361, 788) = ( 361 x 788 ) / 284468

GCD(361, 788) = 284468 / 284468

GCD(361, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 361, 788, 50, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 975, 79, 603
• GCD of 552, 810, 19, 765
• GCD of 550, 800, 17, 914
• GCD of 425, 309, 27, 902
• GCD of 209, 608, 81, 181

1. What is the GCD of 361, 788, 50, 253?

GCD of 361, 788, 50, 253 is 1

2. Where do I get the detailed procedure to find GCD of 361, 788, 50, 253?

You can find a detailed procedure to find GCD of 361, 788, 50, 253 on our page.

3. How to find GCD of 361, 788, 50, 253 on a calculator?

You can find the GCD of 361, 788, 50, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.