GCD of 614, 738, 466, 431 Calculator

Given Input numbers are 614, 738, 466, 431

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 614, 738, 466, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 738, 466, 431 is 1.

Therefore, GCD of numbers 614, 738, 466, 431 is 1

Given Input Data is 614, 738, 466, 431

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 466 is 2 x 233

Prime Factorization of 431 is 431

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, 738) = 226566

GCD(614, 738) = ( 614 x 738 ) / 226566

GCD(614, 738) = 453132 / 226566

GCD(614, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

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

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

GCD of 614, 738, 466, 431 is 1

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• GCD of 257, 418, 877, 956
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1. What is the GCD of 614, 738, 466, 431?

GCD of 614, 738, 466, 431 is 1

2. Where do I get the detailed procedure to find GCD of 614, 738, 466, 431?

You can find a detailed procedure to find GCD of 614, 738, 466, 431 on our page.

3. How to find GCD of 614, 738, 466, 431 on a calculator?

You can find the GCD of 614, 738, 466, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.