GCD of 121, 341, 990 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 121, 341, 990 quickly. Get the easiest ways to solve the greatest common divisor of 121, 341, 990 i.e 11 in different methods as follows.
Given Input numbers are 121, 341, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (121, 341, 990) = 11.
Given numbers are 121, 341, 990
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 341 are 11 x 31
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 111
Therefore, GCD of 121, 341, 990 is 11.
Steps to Calculate GCD of 121, 341, 990 using LCM Formula
Given numbers are 121, 341, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 341) = 3751
GCD(121, 341) = ( 121 x 341 ) / 3751
= 121 / 341
= 121
Step2:
LCM(11, 990) = 990
GCD(11, 990) = ( 11 x 990 ) / 990
= 11 / 990
= 11
So, Greatest Common Divisor of 121, 341, 990 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 121, 341, 990
Given numbers are 121, 341, 990
The greatest common divisor of numbers 121, 341, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 341, 990 is 11.
FAQs on GCD of 121, 341, 990 Calculator
1. What is the GCD of 121, 341, 990?
GCD of given numbers 121, 341, 990 is 11
2. How to calculate the greatest common divisor of 121, 341, 990?
We can find the highest common divisor of 121, 341, 990 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 121, 341, 990 i.e 11.
3. How can I use the GCD of 121, 341, 990Calculator?
Out the numbers 121, 341, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.