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GCD of 365, 936, 586, 271 Calculator

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


Online GCD Calculator is useful to find the GCD of 365, 936, 586, 271 quickly. Get the easiest ways to solve the greatest common divisor of 365, 936, 586, 271 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 365, 936, 586, 271 with Factoring?

Given Input numbers are 365, 936, 586, 271

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271


GCD of numbers is the greatest common divisor

So, the GCD (365, 936, 586, 271) = 1.

Find GCD of 365, 936, 586, 271 using Prime Factorization

Given numbers are 365, 936, 586, 271

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 586 are 2 x 293

Prime factors of 271 are 271

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

Steps to Calculate GCD of 365, 936, 586, 271 using LCM Formula

Given numbers are 365, 936, 586, 271

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

Apply this formula for all numbers.

Step1:

LCM(365, 936) = 341640

GCD(365, 936) = ( 365 x 936 ) / 341640

= 365 / 936

= 365


Step2:

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

= 1 / 586

= 1


Step3:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1


So, Greatest Common Divisor of 365, 936, 586, 271 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 365, 936, 586, 271

Given numbers are 365, 936, 586, 271
The greatest common divisor of numbers 365, 936, 586, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 936, 586, 271 is 1.

FAQs on GCD of 365, 936, 586, 271 Calculator

1. What is the GCD of 365, 936, 586, 271?

GCD of given numbers 365, 936, 586, 271 is 1


2. How to calculate the greatest common divisor of 365, 936, 586, 271?

We can find the highest common divisor of 365, 936, 586, 271 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 365, 936, 586, 271 i.e 1.


3. How can I use the GCD of 365, 936, 586, 271Calculator?

Out the numbers 365, 936, 586, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.