GCD of 614, 436, 641, 731 Calculator

Given Input numbers are 614, 436, 641, 731

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 614, 436, 641, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 436, 641, 731 is 1.

Therefore, GCD of numbers 614, 436, 641, 731 is 1

Given Input Data is 614, 436, 641, 731

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 641 is 641

Prime Factorization of 731 is 17 x 43

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(614, 436) = 133852

GCD(614, 436) = ( 614 x 436 ) / 133852

GCD(614, 436) = 267704 / 133852

GCD(614, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 641

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

LCM(2, 641) = 1282

GCD(2, 641) = ( 2 x 641 ) / 1282

GCD(2, 641) = 1282 / 1282

GCD(2, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 614, 436, 641, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 387, 456, 603
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• GCD of 958, 120, 470, 689

1. What is the GCD of 614, 436, 641, 731?

GCD of 614, 436, 641, 731 is 1

2. Where do I get the detailed procedure to find GCD of 614, 436, 641, 731?

You can find a detailed procedure to find GCD of 614, 436, 641, 731 on our page.

3. How to find GCD of 614, 436, 641, 731 on a calculator?

You can find the GCD of 614, 436, 641, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.