Where do I get the detailed procedure to find GCD of 505, 725, 161?

You can find a detailed procedure to find GCD of 505, 725, 161 on our page.

How to find GCD of 505, 725, 161 on a calculator?

You can find the GCD of 505, 725, 161 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 505, 725, 161 Calculator

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

Online GCD Calculator is useful to find the GCD of 505, 725, 161 quickly. Get the easiest ways to solve the greatest common divisor of 505, 725, 161 i.e 1 in different methods as follows.

How to Find GCD of Numbers 505, 725, 161 with Factoring?

Given Input numbers are 505, 725, 161

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

GCD of numbers is the greatest common divisor

So, the GCD (505, 725, 161) = 1.

Find GCD of 505, 725, 161 using Prime Factorization

Given numbers are 505, 725, 161

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 725 are 5 x 5 x 29

Prime factors of 161 are 7 x 23

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

Steps to Calculate GCD of 505, 725, 161 using LCM Formula

Given numbers are 505, 725, 161

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

Apply this formula for all numbers.

Step1:

LCM(505, 725) = 73225

GCD(505, 725) = ( 505 x 725 ) / 73225

= 505 / 725

= 505

Step2:

LCM(5, 161) = 805

GCD(5, 161) = ( 5 x 161 ) / 805

= 5 / 161

= 5

So, Greatest Common Divisor of 505, 725, 161 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 505, 725, 161

Given numbers are 505, 725, 161
The greatest common divisor of numbers 505, 725, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 725, 161 is 1.

FAQs on GCD of 505, 725, 161 Calculator

1. What is the GCD of 505, 725, 161?

GCD of given numbers 505, 725, 161 is 1

2. How to calculate the greatest common divisor of 505, 725, 161?

We can find the highest common divisor of 505, 725, 161 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 505, 725, 161 i.e 1.

3. How can I use the GCD of 505, 725, 161Calculator?

Out the numbers 505, 725, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.