GCD of 344, 121, 51, 250 Calculator

Given Input numbers are 344, 121, 51, 250

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 344, 121, 51, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 121, 51, 250 is 1.

Therefore, GCD of numbers 344, 121, 51, 250 is 1

Given Input Data is 344, 121, 51, 250

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 121 is 11 x 11

Prime Factorization of 51 is 3 x 17

Prime Factorization of 250 is 2 x 5 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(344, 121) = 41624

GCD(344, 121) = ( 344 x 121 ) / 41624

GCD(344, 121) = 41624 / 41624

GCD(344, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 344, 121, 51, 250 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 325, 30, 886
• GCD of 974, 521, 26, 302
• GCD of 732, 913, 68, 781
• GCD of 761, 626, 60, 687
• GCD of 636, 605, 16, 951

1. What is the GCD of 344, 121, 51, 250?

GCD of 344, 121, 51, 250 is 1

2. Where do I get the detailed procedure to find GCD of 344, 121, 51, 250?

You can find a detailed procedure to find GCD of 344, 121, 51, 250 on our page.

3. How to find GCD of 344, 121, 51, 250 on a calculator?

You can find the GCD of 344, 121, 51, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.