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GCD of 355, 182, 916 Calculator

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


Online GCD Calculator is useful to find the GCD of 355, 182, 916 quickly. Get the easiest ways to solve the greatest common divisor of 355, 182, 916 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 355, 182, 916 with Factoring?

Given Input numbers are 355, 182, 916

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

Divisors of 355 :

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

1, 5, 71, 355

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916


GCD of numbers is the greatest common divisor

So, the GCD (355, 182, 916) = 1.

Find GCD of 355, 182, 916 using Prime Factorization

Given numbers are 355, 182, 916

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 182 are 2 x 7 x 13

Prime factors of 916 are 2 x 2 x 229

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

Steps to Calculate GCD of 355, 182, 916 using LCM Formula

Given numbers are 355, 182, 916

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

Apply this formula for all numbers.

Step1:

LCM(355, 182) = 64610

GCD(355, 182) = ( 355 x 182 ) / 64610

= 355 / 182

= 355


Step2:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


So, Greatest Common Divisor of 355, 182, 916 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 355, 182, 916

Given numbers are 355, 182, 916
The greatest common divisor of numbers 355, 182, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 182, 916 is 1.

FAQs on GCD of 355, 182, 916 Calculator

1. What is the GCD of 355, 182, 916?

GCD of given numbers 355, 182, 916 is 1


2. How to calculate the greatest common divisor of 355, 182, 916?

We can find the highest common divisor of 355, 182, 916 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 355, 182, 916 i.e 1.


3. How can I use the GCD of 355, 182, 916Calculator?

Out the numbers 355, 182, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.