Where do I get the detailed procedure to find GCD of 354, 523, 20?

You can find a detailed procedure to find GCD of 354, 523, 20 on our page.

How to find GCD of 354, 523, 20 on a calculator?

You can find the GCD of 354, 523, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 354, 523, 20 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 354, 523, 20 quickly. Get the easiest ways to solve the greatest common divisor of 354, 523, 20 i.e 1 in different methods as follows.

How to Find GCD of Numbers 354, 523, 20 with Factoring?

Given Input numbers are 354, 523, 20

In the factoring method, we have to find the divisors of all numbers

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

GCD of numbers is the greatest common divisor

So, the GCD (354, 523, 20) = 1.

Find GCD of 354, 523, 20 using Prime Factorization

Given numbers are 354, 523, 20

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 523 are 523

Prime factors of 20 are 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 354, 523, 20 using LCM Formula

Given numbers are 354, 523, 20

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(354, 523) = 185142

GCD(354, 523) = ( 354 x 523 ) / 185142

= 354 / 523

= 354

Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1

So, Greatest Common Divisor of 354, 523, 20 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 354, 523, 20

Given numbers are 354, 523, 20
The greatest common divisor of numbers 354, 523, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 523, 20 is 1.

FAQs on GCD of 354, 523, 20 Calculator

1. What is the GCD of 354, 523, 20?

GCD of given numbers 354, 523, 20 is 1

2. How to calculate the greatest common divisor of 354, 523, 20?

We can find the highest common divisor of 354, 523, 20 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 354, 523, 20 i.e 1.

3. How can I use the GCD of 354, 523, 20Calculator?

Out the numbers 354, 523, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.