GCD of 464, 706, 14, 591 Calculator

Given Input numbers are 464, 706, 14, 591

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 464, 706, 14, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 706, 14, 591 is 1.

Therefore, GCD of numbers 464, 706, 14, 591 is 1

Given Input Data is 464, 706, 14, 591

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 706 is 2 x 353

Prime Factorization of 14 is 2 x 7

Prime Factorization of 591 is 3 x 197

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(464, 706) = 163792

GCD(464, 706) = ( 464 x 706 ) / 163792

GCD(464, 706) = 327584 / 163792

GCD(464, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

GCD of 464, 706, 14, 591 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 197, 38, 968
• GCD of 308, 541, 97, 561
• GCD of 329, 334, 72, 116
• GCD of 436, 706, 73, 712
• GCD of 823, 192, 89, 653

1. What is the GCD of 464, 706, 14, 591?

GCD of 464, 706, 14, 591 is 1

2. Where do I get the detailed procedure to find GCD of 464, 706, 14, 591?

You can find a detailed procedure to find GCD of 464, 706, 14, 591 on our page.

3. How to find GCD of 464, 706, 14, 591 on a calculator?

You can find the GCD of 464, 706, 14, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.