GCD of 891, 990, 979 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 891, 990, 979 quickly. Get the easiest ways to solve the greatest common divisor of 891, 990, 979 i.e 11 in different methods as follows.
Given Input numbers are 891, 990, 979
In the factoring method, we have to find the divisors of all numbers
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
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
Divisors of 979 :
The positive integer divisors of 979 that completely divides 979 are.
1, 11, 89, 979
GCD of numbers is the greatest common divisor
So, the GCD (891, 990, 979) = 11.
Given numbers are 891, 990, 979
The list of prime factors of all numbers are
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 979 are 11 x 89
The highest common occurrence is 111
Therefore, GCD of 891, 990, 979 is 11.
Steps to Calculate GCD of 891, 990, 979 using LCM Formula
Given numbers are 891, 990, 979
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(891, 990) = 8910
GCD(891, 990) = ( 891 x 990 ) / 8910
= 891 / 990
= 891
Step2:
LCM(99, 979) = 8811
GCD(99, 979) = ( 99 x 979 ) / 8811
= 99 / 979
= 99
So, Greatest Common Divisor of 891, 990, 979 is 11
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 891, 990, 979
Given numbers are 891, 990, 979
The greatest common divisor of numbers 891, 990, 979 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 990, 979 is 11.
FAQs on GCD of 891, 990, 979 Calculator
1. What is the GCD of 891, 990, 979?
GCD of given numbers 891, 990, 979 is 11
2. How to calculate the greatest common divisor of 891, 990, 979?
We can find the highest common divisor of 891, 990, 979 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 891, 990, 979 i.e 11.
3. How can I use the GCD of 891, 990, 979Calculator?
Out the numbers 891, 990, 979 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.