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GCD of 838, 805, 398, 744 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, 805, 398, 744 quickly. Get the easiest ways to solve the greatest common divisor of 838, 805, 398, 744 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 805, 398, 744 with Factoring?

Given Input numbers are 838, 805, 398, 744

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 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744


GCD of numbers is the greatest common divisor

So, the GCD (838, 805, 398, 744) = 1.

Find GCD of 838, 805, 398, 744 using Prime Factorization

Given numbers are 838, 805, 398, 744

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 805 are 5 x 7 x 23

Prime factors of 398 are 2 x 199

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Steps to Calculate GCD of 838, 805, 398, 744 using LCM Formula

Given numbers are 838, 805, 398, 744

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

Apply this formula for all numbers.

Step1:

LCM(838, 805) = 674590

GCD(838, 805) = ( 838 x 805 ) / 674590

= 838 / 805

= 838


Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1


So, Greatest Common Divisor of 838, 805, 398, 744 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 805, 398, 744

Given numbers are 838, 805, 398, 744
The greatest common divisor of numbers 838, 805, 398, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 805, 398, 744 is 1.

FAQs on GCD of 838, 805, 398, 744 Calculator

1. What is the GCD of 838, 805, 398, 744?

GCD of given numbers 838, 805, 398, 744 is 1


2. How to calculate the greatest common divisor of 838, 805, 398, 744?

We can find the highest common divisor of 838, 805, 398, 744 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, 805, 398, 744 i.e 1.


3. How can I use the GCD of 838, 805, 398, 744Calculator?

Out the numbers 838, 805, 398, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.