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GCD of 165, 713, 580, 706 Calculator

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


Online GCD Calculator is useful to find the GCD of 165, 713, 580, 706 quickly. Get the easiest ways to solve the greatest common divisor of 165, 713, 580, 706 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 165, 713, 580, 706 with Factoring?

Given Input numbers are 165, 713, 580, 706

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706


GCD of numbers is the greatest common divisor

So, the GCD (165, 713, 580, 706) = 1.

Find GCD of 165, 713, 580, 706 using Prime Factorization

Given numbers are 165, 713, 580, 706

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 713 are 23 x 31

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 706 are 2 x 353

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

Steps to Calculate GCD of 165, 713, 580, 706 using LCM Formula

Given numbers are 165, 713, 580, 706

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

Apply this formula for all numbers.

Step1:

LCM(165, 713) = 117645

GCD(165, 713) = ( 165 x 713 ) / 117645

= 165 / 713

= 165


Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1


Step3:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1


So, Greatest Common Divisor of 165, 713, 580, 706 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 713, 580, 706

Given numbers are 165, 713, 580, 706
The greatest common divisor of numbers 165, 713, 580, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 713, 580, 706 is 1.

FAQs on GCD of 165, 713, 580, 706 Calculator

1. What is the GCD of 165, 713, 580, 706?

GCD of given numbers 165, 713, 580, 706 is 1


2. How to calculate the greatest common divisor of 165, 713, 580, 706?

We can find the highest common divisor of 165, 713, 580, 706 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 165, 713, 580, 706 i.e 1.


3. How can I use the GCD of 165, 713, 580, 706Calculator?

Out the numbers 165, 713, 580, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.