GCD of 345, 578, 54, 521 Calculator

Given Input numbers are 345, 578, 54, 521

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 345, 578, 54, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 578, 54, 521 is 1.

Therefore, GCD of numbers 345, 578, 54, 521 is 1

Given Input Data is 345, 578, 54, 521

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 521 is 521

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(345, 578) = 199410

GCD(345, 578) = ( 345 x 578 ) / 199410

GCD(345, 578) = 199410 / 199410

GCD(345, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 521

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

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

GCD(1, 521) = 521 / 521

GCD(1, 521) = 1

GCD of 345, 578, 54, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 810, 79, 489
• GCD of 722, 957, 77, 338
• GCD of 293, 477, 66, 390
• GCD of 314, 281, 99, 352
• GCD of 242, 555, 99, 364

1. What is the GCD of 345, 578, 54, 521?

GCD of 345, 578, 54, 521 is 1

2. Where do I get the detailed procedure to find GCD of 345, 578, 54, 521?

You can find a detailed procedure to find GCD of 345, 578, 54, 521 on our page.

3. How to find GCD of 345, 578, 54, 521 on a calculator?

You can find the GCD of 345, 578, 54, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.