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GCD of 71, 83, 20, 71 Calculator

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


Online GCD Calculator is useful to find the GCD of 71, 83, 20, 71 quickly. Get the easiest ways to solve the greatest common divisor of 71, 83, 20, 71 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 71, 83, 20, 71 with Factoring?

Given Input numbers are 71, 83, 20, 71

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

Divisors of 71 :

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

1, 71

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 71 :

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

1, 71


GCD of numbers is the greatest common divisor

So, the GCD (71, 83, 20, 71) = 1.

Find GCD of 71, 83, 20, 71 using Prime Factorization

Given numbers are 71, 83, 20, 71

The list of prime factors of all numbers are

Prime factors of 71 are 71

Prime factors of 83 are 83

Prime factors of 20 are 2 x 2 x 5

Prime factors of 71 are 71

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

Steps to Calculate GCD of 71, 83, 20, 71 using LCM Formula

Given numbers are 71, 83, 20, 71

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

Apply this formula for all numbers.

Step1:

LCM(71, 83) = 5893

GCD(71, 83) = ( 71 x 83 ) / 5893

= 71 / 83

= 71


Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1


Step3:

LCM(1, 71) = 71

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

= 1 / 71

= 1


So, Greatest Common Divisor of 71, 83, 20, 71 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 71, 83, 20, 71

Given numbers are 71, 83, 20, 71
The greatest common divisor of numbers 71, 83, 20, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 71, 83, 20, 71 is 1.

FAQs on GCD of 71, 83, 20, 71 Calculator

1. What is the GCD of 71, 83, 20, 71?

GCD of given numbers 71, 83, 20, 71 is 1


2. How to calculate the greatest common divisor of 71, 83, 20, 71?

We can find the highest common divisor of 71, 83, 20, 71 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 71, 83, 20, 71 i.e 1.


3. How can I use the GCD of 71, 83, 20, 71Calculator?

Out the numbers 71, 83, 20, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.