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GCD of 841, 381, 120, 205 Calculator

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


Online GCD Calculator is useful to find the GCD of 841, 381, 120, 205 quickly. Get the easiest ways to solve the greatest common divisor of 841, 381, 120, 205 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 841, 381, 120, 205 with Factoring?

Given Input numbers are 841, 381, 120, 205

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

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 205 :

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

1, 5, 41, 205


GCD of numbers is the greatest common divisor

So, the GCD (841, 381, 120, 205) = 1.

Find GCD of 841, 381, 120, 205 using Prime Factorization

Given numbers are 841, 381, 120, 205

The list of prime factors of all numbers are

Prime factors of 841 are 29 x 29

Prime factors of 381 are 3 x 127

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 205 are 5 x 41

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

Steps to Calculate GCD of 841, 381, 120, 205 using LCM Formula

Given numbers are 841, 381, 120, 205

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

Apply this formula for all numbers.

Step1:

LCM(841, 381) = 320421

GCD(841, 381) = ( 841 x 381 ) / 320421

= 841 / 381

= 841


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1


So, Greatest Common Divisor of 841, 381, 120, 205 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 841, 381, 120, 205

Given numbers are 841, 381, 120, 205
The greatest common divisor of numbers 841, 381, 120, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 841, 381, 120, 205 is 1.

FAQs on GCD of 841, 381, 120, 205 Calculator

1. What is the GCD of 841, 381, 120, 205?

GCD of given numbers 841, 381, 120, 205 is 1


2. How to calculate the greatest common divisor of 841, 381, 120, 205?

We can find the highest common divisor of 841, 381, 120, 205 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 841, 381, 120, 205 i.e 1.


3. How can I use the GCD of 841, 381, 120, 205Calculator?

Out the numbers 841, 381, 120, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.