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GCD of 844, 338, 397, 749 Calculator

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


Online GCD Calculator is useful to find the GCD of 844, 338, 397, 749 quickly. Get the easiest ways to solve the greatest common divisor of 844, 338, 397, 749 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 844, 338, 397, 749 with Factoring?

Given Input numbers are 844, 338, 397, 749

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

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749


GCD of numbers is the greatest common divisor

So, the GCD (844, 338, 397, 749) = 1.

Find GCD of 844, 338, 397, 749 using Prime Factorization

Given numbers are 844, 338, 397, 749

The list of prime factors of all numbers are

Prime factors of 844 are 2 x 2 x 211

Prime factors of 338 are 2 x 13 x 13

Prime factors of 397 are 397

Prime factors of 749 are 7 x 107

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

Steps to Calculate GCD of 844, 338, 397, 749 using LCM Formula

Given numbers are 844, 338, 397, 749

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

Apply this formula for all numbers.

Step1:

LCM(844, 338) = 142636

GCD(844, 338) = ( 844 x 338 ) / 142636

= 844 / 338

= 844


Step2:

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

= 2 / 397

= 2


Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1


So, Greatest Common Divisor of 844, 338, 397, 749 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 844, 338, 397, 749

Given numbers are 844, 338, 397, 749
The greatest common divisor of numbers 844, 338, 397, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 338, 397, 749 is 1.

FAQs on GCD of 844, 338, 397, 749 Calculator

1. What is the GCD of 844, 338, 397, 749?

GCD of given numbers 844, 338, 397, 749 is 1


2. How to calculate the greatest common divisor of 844, 338, 397, 749?

We can find the highest common divisor of 844, 338, 397, 749 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 844, 338, 397, 749 i.e 1.


3. How can I use the GCD of 844, 338, 397, 749Calculator?

Out the numbers 844, 338, 397, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.