GCD of 714, 550, 31, 433 Calculator

Given Input numbers are 714, 550, 31, 433

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 714, 550, 31, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 550, 31, 433 is 1.

Therefore, GCD of numbers 714, 550, 31, 433 is 1

Given Input Data is 714, 550, 31, 433

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 31 is 31

Prime Factorization of 433 is 433

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(714, 550) = 196350

GCD(714, 550) = ( 714 x 550 ) / 196350

GCD(714, 550) = 392700 / 196350

GCD(714, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 714, 550, 31, 433 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 841, 83, 883
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• GCD of 711, 424, 34, 101

1. What is the GCD of 714, 550, 31, 433?

GCD of 714, 550, 31, 433 is 1

2. Where do I get the detailed procedure to find GCD of 714, 550, 31, 433?

You can find a detailed procedure to find GCD of 714, 550, 31, 433 on our page.

3. How to find GCD of 714, 550, 31, 433 on a calculator?

You can find the GCD of 714, 550, 31, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.