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GCD of 664, 747, 82 Calculator

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


Online GCD Calculator is useful to find the GCD of 664, 747, 82 quickly. Get the easiest ways to solve the greatest common divisor of 664, 747, 82 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 664, 747, 82 with Factoring?

Given Input numbers are 664, 747, 82

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 82 :

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

1, 2, 41, 82


GCD of numbers is the greatest common divisor

So, the GCD (664, 747, 82) = 1.

Find GCD of 664, 747, 82 using Prime Factorization

Given numbers are 664, 747, 82

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 747 are 3 x 3 x 83

Prime factors of 82 are 2 x 41

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

Steps to Calculate GCD of 664, 747, 82 using LCM Formula

Given numbers are 664, 747, 82

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

Apply this formula for all numbers.

Step1:

LCM(664, 747) = 5976

GCD(664, 747) = ( 664 x 747 ) / 5976

= 664 / 747

= 664


Step2:

LCM(83, 82) = 6806

GCD(83, 82) = ( 83 x 82 ) / 6806

= 83 / 82

= 83


So, Greatest Common Divisor of 664, 747, 82 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 664, 747, 82

Given numbers are 664, 747, 82
The greatest common divisor of numbers 664, 747, 82 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 747, 82 is 1.

FAQs on GCD of 664, 747, 82 Calculator

1. What is the GCD of 664, 747, 82?

GCD of given numbers 664, 747, 82 is 1


2. How to calculate the greatest common divisor of 664, 747, 82?

We can find the highest common divisor of 664, 747, 82 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 664, 747, 82 i.e 1.


3. How can I use the GCD of 664, 747, 82Calculator?

Out the numbers 664, 747, 82 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.