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GCD of 838, 342, 71 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 342, 71 quickly. Get the easiest ways to solve the greatest common divisor of 838, 342, 71 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 342, 71 with Factoring?

Given Input numbers are 838, 342, 71

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71


GCD of numbers is the greatest common divisor

So, the GCD (838, 342, 71) = 1.

Find GCD of 838, 342, 71 using Prime Factorization

Given numbers are 838, 342, 71

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 71 are 71

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

Steps to Calculate GCD of 838, 342, 71 using LCM Formula

Given numbers are 838, 342, 71

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

Apply this formula for all numbers.

Step1:

LCM(838, 342) = 143298

GCD(838, 342) = ( 838 x 342 ) / 143298

= 838 / 342

= 838


Step2:

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

= 2 / 71

= 2


So, Greatest Common Divisor of 838, 342, 71 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 342, 71

Given numbers are 838, 342, 71
The greatest common divisor of numbers 838, 342, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 342, 71 is 1.

FAQs on GCD of 838, 342, 71 Calculator

1. What is the GCD of 838, 342, 71?

GCD of given numbers 838, 342, 71 is 1


2. How to calculate the greatest common divisor of 838, 342, 71?

We can find the highest common divisor of 838, 342, 71 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 838, 342, 71 i.e 1.


3. How can I use the GCD of 838, 342, 71Calculator?

Out the numbers 838, 342, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.