GCD of 314, 420, 50, 233 Calculator

Given Input numbers are 314, 420, 50, 233

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Greatest Common Divisior

We found the divisors of 314, 420, 50, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 420, 50, 233 is 1.

Therefore, GCD of numbers 314, 420, 50, 233 is 1

Given Input Data is 314, 420, 50, 233

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 233 is 233

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(314, 420) = 65940

GCD(314, 420) = ( 314 x 420 ) / 65940

GCD(314, 420) = 131880 / 65940

GCD(314, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 233

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

LCM(2, 233) = 466

GCD(2, 233) = ( 2 x 233 ) / 466

GCD(2, 233) = 466 / 466

GCD(2, 233) = 1

GCD of 314, 420, 50, 233 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 711, 91, 180
• GCD of 759, 419, 59, 261
• GCD of 225, 259, 89, 634
• GCD of 756, 663, 20, 119
• GCD of 798, 624, 67, 427

1. What is the GCD of 314, 420, 50, 233?

GCD of 314, 420, 50, 233 is 1

2. Where do I get the detailed procedure to find GCD of 314, 420, 50, 233?

You can find a detailed procedure to find GCD of 314, 420, 50, 233 on our page.

3. How to find GCD of 314, 420, 50, 233 on a calculator?

You can find the GCD of 314, 420, 50, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.