LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 271, 218, 71, 260 Calculator

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


Online GCD Calculator is useful to find the GCD of 271, 218, 71, 260 quickly. Get the easiest ways to solve the greatest common divisor of 271, 218, 71, 260 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 271, 218, 71, 260 with Factoring?

Given Input numbers are 271, 218, 71, 260

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

Divisors of 271 :

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

1, 271

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260


GCD of numbers is the greatest common divisor

So, the GCD (271, 218, 71, 260) = 1.

Find GCD of 271, 218, 71, 260 using Prime Factorization

Given numbers are 271, 218, 71, 260

The list of prime factors of all numbers are

Prime factors of 271 are 271

Prime factors of 218 are 2 x 109

Prime factors of 71 are 71

Prime factors of 260 are 2 x 2 x 5 x 13

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

Steps to Calculate GCD of 271, 218, 71, 260 using LCM Formula

Given numbers are 271, 218, 71, 260

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

Apply this formula for all numbers.

Step1:

LCM(271, 218) = 59078

GCD(271, 218) = ( 271 x 218 ) / 59078

= 271 / 218

= 271


Step2:

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

= 1 / 71

= 1


Step3:

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

= 1 / 260

= 1


So, Greatest Common Divisor of 271, 218, 71, 260 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 271, 218, 71, 260

Given numbers are 271, 218, 71, 260
The greatest common divisor of numbers 271, 218, 71, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 218, 71, 260 is 1.

FAQs on GCD of 271, 218, 71, 260 Calculator

1. What is the GCD of 271, 218, 71, 260?

GCD of given numbers 271, 218, 71, 260 is 1


2. How to calculate the greatest common divisor of 271, 218, 71, 260?

We can find the highest common divisor of 271, 218, 71, 260 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 271, 218, 71, 260 i.e 1.


3. How can I use the GCD of 271, 218, 71, 260Calculator?

Out the numbers 271, 218, 71, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.