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GCD of 165, 692, 198, 791 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, 692, 198, 791 quickly. Get the easiest ways to solve the greatest common divisor of 165, 692, 198, 791 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 165, 692, 198, 791 with Factoring?

Given Input numbers are 165, 692, 198, 791

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 791 :

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

1, 7, 113, 791


GCD of numbers is the greatest common divisor

So, the GCD (165, 692, 198, 791) = 1.

Find GCD of 165, 692, 198, 791 using Prime Factorization

Given numbers are 165, 692, 198, 791

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 692 are 2 x 2 x 173

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 791 are 7 x 113

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

Steps to Calculate GCD of 165, 692, 198, 791 using LCM Formula

Given numbers are 165, 692, 198, 791

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

Apply this formula for all numbers.

Step1:

LCM(165, 692) = 114180

GCD(165, 692) = ( 165 x 692 ) / 114180

= 165 / 692

= 165


Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1


Step3:

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

= 1 / 791

= 1


So, Greatest Common Divisor of 165, 692, 198, 791 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 165, 692, 198, 791

Given numbers are 165, 692, 198, 791
The greatest common divisor of numbers 165, 692, 198, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 692, 198, 791 is 1.

FAQs on GCD of 165, 692, 198, 791 Calculator

1. What is the GCD of 165, 692, 198, 791?

GCD of given numbers 165, 692, 198, 791 is 1


2. How to calculate the greatest common divisor of 165, 692, 198, 791?

We can find the highest common divisor of 165, 692, 198, 791 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, 692, 198, 791 i.e 1.


3. How can I use the GCD of 165, 692, 198, 791Calculator?

Out the numbers 165, 692, 198, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.