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GCD of 165, 965, 791, 717 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, 965, 791, 717 quickly. Get the easiest ways to solve the greatest common divisor of 165, 965, 791, 717 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 165, 965, 791, 717 with Factoring?

Given Input numbers are 165, 965, 791, 717

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 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 791 :

The positive integer divisors of 791 that completely divides 791 are.

1, 7, 113, 791

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717


GCD of numbers is the greatest common divisor

So, the GCD (165, 965, 791, 717) = 1.

Find GCD of 165, 965, 791, 717 using Prime Factorization

Given numbers are 165, 965, 791, 717

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 965 are 5 x 193

Prime factors of 791 are 7 x 113

Prime factors of 717 are 3 x 239

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

Steps to Calculate GCD of 165, 965, 791, 717 using LCM Formula

Given numbers are 165, 965, 791, 717

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

Apply this formula for all numbers.

Step1:

LCM(165, 965) = 31845

GCD(165, 965) = ( 165 x 965 ) / 31845

= 165 / 965

= 165


Step2:

LCM(5, 791) = 3955

GCD(5, 791) = ( 5 x 791 ) / 3955

= 5 / 791

= 5


Step3:

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

= 1 / 717

= 1


So, Greatest Common Divisor of 165, 965, 791, 717 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 965, 791, 717

Given numbers are 165, 965, 791, 717
The greatest common divisor of numbers 165, 965, 791, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 965, 791, 717 is 1.

FAQs on GCD of 165, 965, 791, 717 Calculator

1. What is the GCD of 165, 965, 791, 717?

GCD of given numbers 165, 965, 791, 717 is 1


2. How to calculate the greatest common divisor of 165, 965, 791, 717?

We can find the highest common divisor of 165, 965, 791, 717 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, 965, 791, 717 i.e 1.


3. How can I use the GCD of 165, 965, 791, 717Calculator?

Out the numbers 165, 965, 791, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.