GCD of 714, 623, 433, 896 Calculator

Given Input numbers are 714, 623, 433, 896

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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 433

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

1, 433

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 714, 623, 433, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 623, 433, 896 is 1.

Therefore, GCD of numbers 714, 623, 433, 896 is 1

Given Input Data is 714, 623, 433, 896

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 623 is 7 x 89

Prime Factorization of 433 is 433

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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, 623) = 63546

GCD(714, 623) = ( 714 x 623 ) / 63546

GCD(714, 623) = 444822 / 63546

GCD(714, 623) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 433

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

LCM(7, 433) = 3031

GCD(7, 433) = ( 7 x 433 ) / 3031

GCD(7, 433) = 3031 / 3031

GCD(7, 433) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 714, 623, 433, 896 is 1

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1. What is the GCD of 714, 623, 433, 896?

GCD of 714, 623, 433, 896 is 1

2. Where do I get the detailed procedure to find GCD of 714, 623, 433, 896?

You can find a detailed procedure to find GCD of 714, 623, 433, 896 on our page.

3. How to find GCD of 714, 623, 433, 896 on a calculator?

You can find the GCD of 714, 623, 433, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.