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GCD of 338, 353, 904, 755 Calculator

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


Online GCD Calculator is useful to find the GCD of 338, 353, 904, 755 quickly. Get the easiest ways to solve the greatest common divisor of 338, 353, 904, 755 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 338, 353, 904, 755 with Factoring?

Given Input numbers are 338, 353, 904, 755

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755


GCD of numbers is the greatest common divisor

So, the GCD (338, 353, 904, 755) = 1.

Find GCD of 338, 353, 904, 755 using Prime Factorization

Given numbers are 338, 353, 904, 755

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 353 are 353

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 755 are 5 x 151

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

Steps to Calculate GCD of 338, 353, 904, 755 using LCM Formula

Given numbers are 338, 353, 904, 755

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

Apply this formula for all numbers.

Step1:

LCM(338, 353) = 119314

GCD(338, 353) = ( 338 x 353 ) / 119314

= 338 / 353

= 338


Step2:

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

= 1 / 904

= 1


Step3:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1


So, Greatest Common Divisor of 338, 353, 904, 755 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 338, 353, 904, 755

Given numbers are 338, 353, 904, 755
The greatest common divisor of numbers 338, 353, 904, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 353, 904, 755 is 1.

FAQs on GCD of 338, 353, 904, 755 Calculator

1. What is the GCD of 338, 353, 904, 755?

GCD of given numbers 338, 353, 904, 755 is 1


2. How to calculate the greatest common divisor of 338, 353, 904, 755?

We can find the highest common divisor of 338, 353, 904, 755 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 338, 353, 904, 755 i.e 1.


3. How can I use the GCD of 338, 353, 904, 755Calculator?

Out the numbers 338, 353, 904, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.