GCD of 113, 692, 809, 165 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 113, 692, 809, 165 quickly. Get the easiest ways to solve the greatest common divisor of 113, 692, 809, 165 i.e 1 in different methods as follows.
Given Input numbers are 113, 692, 809, 165
In the factoring method, we have to find the divisors of all numbers
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
GCD of numbers is the greatest common divisor
So, the GCD (113, 692, 809, 165) = 1.
Given numbers are 113, 692, 809, 165
The list of prime factors of all numbers are
Prime factors of 113 are 113
Prime factors of 692 are 2 x 2 x 173
Prime factors of 809 are 809
Prime factors of 165 are 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 113, 692, 809, 165 using LCM Formula
Given numbers are 113, 692, 809, 165
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(113, 692) = 78196
GCD(113, 692) = ( 113 x 692 ) / 78196
= 113 / 692
= 113
Step2:
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
= 1 / 809
= 1
Step3:
LCM(1, 165) = 165
GCD(1, 165) = ( 1 x 165 ) / 165
= 1 / 165
= 1
So, Greatest Common Divisor of 113, 692, 809, 165 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 113, 692, 809, 165
Given numbers are 113, 692, 809, 165
The greatest common divisor of numbers 113, 692, 809, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 692, 809, 165 is 1.
FAQs on GCD of 113, 692, 809, 165 Calculator
1. What is the GCD of 113, 692, 809, 165?
GCD of given numbers 113, 692, 809, 165 is 1
2. How to calculate the greatest common divisor of 113, 692, 809, 165?
We can find the highest common divisor of 113, 692, 809, 165 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 113, 692, 809, 165 i.e 1.
3. How can I use the GCD of 113, 692, 809, 165Calculator?
Out the numbers 113, 692, 809, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.