GCD of 464, 794, 171, 528 Calculator

Given Input numbers are 464, 794, 171, 528

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 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 464, 794, 171, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 794, 171, 528 is 1.

Therefore, GCD of numbers 464, 794, 171, 528 is 1

Given Input Data is 464, 794, 171, 528

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 794 is 2 x 397

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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, 794) = 184208

GCD(464, 794) = ( 464 x 794 ) / 184208

GCD(464, 794) = 368416 / 184208

GCD(464, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 464, 794, 171, 528 is 1

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1. What is the GCD of 464, 794, 171, 528?

GCD of 464, 794, 171, 528 is 1

2. Where do I get the detailed procedure to find GCD of 464, 794, 171, 528?

You can find a detailed procedure to find GCD of 464, 794, 171, 528 on our page.

3. How to find GCD of 464, 794, 171, 528 on a calculator?

You can find the GCD of 464, 794, 171, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.