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GCD of 28, 71, 82, 61 Calculator

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


Online GCD Calculator is useful to find the GCD of 28, 71, 82, 61 quickly. Get the easiest ways to solve the greatest common divisor of 28, 71, 82, 61 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 28, 71, 82, 61 with Factoring?

Given Input numbers are 28, 71, 82, 61

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

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 71 :

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

1, 71

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61


GCD of numbers is the greatest common divisor

So, the GCD (28, 71, 82, 61) = 1.

Find GCD of 28, 71, 82, 61 using Prime Factorization

Given numbers are 28, 71, 82, 61

The list of prime factors of all numbers are

Prime factors of 28 are 2 x 2 x 7

Prime factors of 71 are 71

Prime factors of 82 are 2 x 41

Prime factors of 61 are 61

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

Steps to Calculate GCD of 28, 71, 82, 61 using LCM Formula

Given numbers are 28, 71, 82, 61

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

Apply this formula for all numbers.

Step1:

LCM(28, 71) = 1988

GCD(28, 71) = ( 28 x 71 ) / 1988

= 28 / 71

= 28


Step2:

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

= 1 / 82

= 1


Step3:

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

= 1 / 61

= 1


So, Greatest Common Divisor of 28, 71, 82, 61 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 28, 71, 82, 61

Given numbers are 28, 71, 82, 61
The greatest common divisor of numbers 28, 71, 82, 61 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 28, 71, 82, 61 is 1.

FAQs on GCD of 28, 71, 82, 61 Calculator

1. What is the GCD of 28, 71, 82, 61?

GCD of given numbers 28, 71, 82, 61 is 1


2. How to calculate the greatest common divisor of 28, 71, 82, 61?

We can find the highest common divisor of 28, 71, 82, 61 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 28, 71, 82, 61 i.e 1.


3. How can I use the GCD of 28, 71, 82, 61Calculator?

Out the numbers 28, 71, 82, 61 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.