LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 961, 165, 815, 309 Calculator

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


Online GCD Calculator is useful to find the GCD of 961, 165, 815, 309 quickly. Get the easiest ways to solve the greatest common divisor of 961, 165, 815, 309 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 961, 165, 815, 309 with Factoring?

Given Input numbers are 961, 165, 815, 309

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 165 :

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

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

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309


GCD of numbers is the greatest common divisor

So, the GCD (961, 165, 815, 309) = 1.

Find GCD of 961, 165, 815, 309 using Prime Factorization

Given numbers are 961, 165, 815, 309

The list of prime factors of all numbers are

Prime factors of 961 are 31 x 31

Prime factors of 165 are 3 x 5 x 11

Prime factors of 815 are 5 x 163

Prime factors of 309 are 3 x 103

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

Steps to Calculate GCD of 961, 165, 815, 309 using LCM Formula

Given numbers are 961, 165, 815, 309

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

Apply this formula for all numbers.

Step1:

LCM(961, 165) = 158565

GCD(961, 165) = ( 961 x 165 ) / 158565

= 961 / 165

= 961


Step2:

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

= 1 / 815

= 1


Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1


So, Greatest Common Divisor of 961, 165, 815, 309 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 961, 165, 815, 309

Given numbers are 961, 165, 815, 309
The greatest common divisor of numbers 961, 165, 815, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 961, 165, 815, 309 is 1.

FAQs on GCD of 961, 165, 815, 309 Calculator

1. What is the GCD of 961, 165, 815, 309?

GCD of given numbers 961, 165, 815, 309 is 1


2. How to calculate the greatest common divisor of 961, 165, 815, 309?

We can find the highest common divisor of 961, 165, 815, 309 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 961, 165, 815, 309 i.e 1.


3. How can I use the GCD of 961, 165, 815, 309Calculator?

Out the numbers 961, 165, 815, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.