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GCD of 271, 784, 116 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, 784, 116 quickly. Get the easiest ways to solve the greatest common divisor of 271, 784, 116 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 271, 784, 116 with Factoring?

Given Input numbers are 271, 784, 116

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116


GCD of numbers is the greatest common divisor

So, the GCD (271, 784, 116) = 1.

Find GCD of 271, 784, 116 using Prime Factorization

Given numbers are 271, 784, 116

The list of prime factors of all numbers are

Prime factors of 271 are 271

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 116 are 2 x 2 x 29

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

Steps to Calculate GCD of 271, 784, 116 using LCM Formula

Given numbers are 271, 784, 116

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

Apply this formula for all numbers.

Step1:

LCM(271, 784) = 212464

GCD(271, 784) = ( 271 x 784 ) / 212464

= 271 / 784

= 271


Step2:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1


So, Greatest Common Divisor of 271, 784, 116 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 271, 784, 116

Given numbers are 271, 784, 116
The greatest common divisor of numbers 271, 784, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 271, 784, 116 is 1.

FAQs on GCD of 271, 784, 116 Calculator

1. What is the GCD of 271, 784, 116?

GCD of given numbers 271, 784, 116 is 1


2. How to calculate the greatest common divisor of 271, 784, 116?

We can find the highest common divisor of 271, 784, 116 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, 784, 116 i.e 1.


3. How can I use the GCD of 271, 784, 116Calculator?

Out the numbers 271, 784, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.