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GCD of 73, 82, 89, 74 Calculator

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


Online GCD Calculator is useful to find the GCD of 73, 82, 89, 74 quickly. Get the easiest ways to solve the greatest common divisor of 73, 82, 89, 74 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 73, 82, 89, 74 with Factoring?

Given Input numbers are 73, 82, 89, 74

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

Divisors of 73 :

The positive integer divisors of 73 that completely divides 73 are.

1, 73

Divisors of 82 :

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

1, 2, 41, 82

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74


GCD of numbers is the greatest common divisor

So, the GCD (73, 82, 89, 74) = 1.

Find GCD of 73, 82, 89, 74 using Prime Factorization

Given numbers are 73, 82, 89, 74

The list of prime factors of all numbers are

Prime factors of 73 are 73

Prime factors of 82 are 2 x 41

Prime factors of 89 are 89

Prime factors of 74 are 2 x 37

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

Steps to Calculate GCD of 73, 82, 89, 74 using LCM Formula

Given numbers are 73, 82, 89, 74

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

Apply this formula for all numbers.

Step1:

LCM(73, 82) = 5986

GCD(73, 82) = ( 73 x 82 ) / 5986

= 73 / 82

= 73


Step2:

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

= 1 / 89

= 1


Step3:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1


So, Greatest Common Divisor of 73, 82, 89, 74 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 73, 82, 89, 74

Given numbers are 73, 82, 89, 74
The greatest common divisor of numbers 73, 82, 89, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 73, 82, 89, 74 is 1.

FAQs on GCD of 73, 82, 89, 74 Calculator

1. What is the GCD of 73, 82, 89, 74?

GCD of given numbers 73, 82, 89, 74 is 1


2. How to calculate the greatest common divisor of 73, 82, 89, 74?

We can find the highest common divisor of 73, 82, 89, 74 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 73, 82, 89, 74 i.e 1.


3. How can I use the GCD of 73, 82, 89, 74Calculator?

Out the numbers 73, 82, 89, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.