GCD of 743, 894, 430, 421 Calculator

Given Input numbers are 743, 894, 430, 421

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 743, 894, 430, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 894, 430, 421 is 1.

Therefore, GCD of numbers 743, 894, 430, 421 is 1

Given Input Data is 743, 894, 430, 421

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

Prime Factorization of 743 is 743

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 421 is 421

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(743, 894) = 664242

GCD(743, 894) = ( 743 x 894 ) / 664242

GCD(743, 894) = 664242 / 664242

GCD(743, 894) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 743, 894, 430, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 199, 944, 135
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• GCD of 964, 540, 705, 545
• GCD of 127, 140, 398, 363

1. What is the GCD of 743, 894, 430, 421?

GCD of 743, 894, 430, 421 is 1

2. Where do I get the detailed procedure to find GCD of 743, 894, 430, 421?

You can find a detailed procedure to find GCD of 743, 894, 430, 421 on our page.

3. How to find GCD of 743, 894, 430, 421 on a calculator?

You can find the GCD of 743, 894, 430, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.