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GCD of 205, 824, 438, 155 Calculator

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


Online GCD Calculator is useful to find the GCD of 205, 824, 438, 155 quickly. Get the easiest ways to solve the greatest common divisor of 205, 824, 438, 155 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 205, 824, 438, 155 with Factoring?

Given Input numbers are 205, 824, 438, 155

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155


GCD of numbers is the greatest common divisor

So, the GCD (205, 824, 438, 155) = 1.

Find GCD of 205, 824, 438, 155 using Prime Factorization

Given numbers are 205, 824, 438, 155

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 438 are 2 x 3 x 73

Prime factors of 155 are 5 x 31

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

Steps to Calculate GCD of 205, 824, 438, 155 using LCM Formula

Given numbers are 205, 824, 438, 155

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

Apply this formula for all numbers.

Step1:

LCM(205, 824) = 168920

GCD(205, 824) = ( 205 x 824 ) / 168920

= 205 / 824

= 205


Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


Step3:

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

= 1 / 155

= 1


So, Greatest Common Divisor of 205, 824, 438, 155 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 205, 824, 438, 155

Given numbers are 205, 824, 438, 155
The greatest common divisor of numbers 205, 824, 438, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 824, 438, 155 is 1.

FAQs on GCD of 205, 824, 438, 155 Calculator

1. What is the GCD of 205, 824, 438, 155?

GCD of given numbers 205, 824, 438, 155 is 1


2. How to calculate the greatest common divisor of 205, 824, 438, 155?

We can find the highest common divisor of 205, 824, 438, 155 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 205, 824, 438, 155 i.e 1.


3. How can I use the GCD of 205, 824, 438, 155Calculator?

Out the numbers 205, 824, 438, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.