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GCD of 736, 355, 338, 855 Calculator

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


Online GCD Calculator is useful to find the GCD of 736, 355, 338, 855 quickly. Get the easiest ways to solve the greatest common divisor of 736, 355, 338, 855 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 355, 338, 855 with Factoring?

Given Input numbers are 736, 355, 338, 855

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (736, 355, 338, 855) = 1.

Find GCD of 736, 355, 338, 855 using Prime Factorization

Given numbers are 736, 355, 338, 855

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 355 are 5 x 71

Prime factors of 338 are 2 x 13 x 13

Prime factors of 855 are 3 x 3 x 5 x 19

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

Steps to Calculate GCD of 736, 355, 338, 855 using LCM Formula

Given numbers are 736, 355, 338, 855

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

Apply this formula for all numbers.

Step1:

LCM(736, 355) = 261280

GCD(736, 355) = ( 736 x 355 ) / 261280

= 736 / 355

= 736


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

= 1 / 855

= 1


So, Greatest Common Divisor of 736, 355, 338, 855 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 355, 338, 855

Given numbers are 736, 355, 338, 855
The greatest common divisor of numbers 736, 355, 338, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 355, 338, 855 is 1.

FAQs on GCD of 736, 355, 338, 855 Calculator

1. What is the GCD of 736, 355, 338, 855?

GCD of given numbers 736, 355, 338, 855 is 1


2. How to calculate the greatest common divisor of 736, 355, 338, 855?

We can find the highest common divisor of 736, 355, 338, 855 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 736, 355, 338, 855 i.e 1.


3. How can I use the GCD of 736, 355, 338, 855Calculator?

Out the numbers 736, 355, 338, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.