GCD of 111, 711, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 111, 711, 99 quickly. Get the easiest ways to solve the greatest common divisor of 111, 711, 99 i.e 3 in different methods as follows.
Given Input numbers are 111, 711, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 711 :
The positive integer divisors of 711 that completely divides 711 are.
1, 3, 9, 79, 237, 711
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
GCD of numbers is the greatest common divisor
So, the GCD (111, 711, 99) = 3.
Given numbers are 111, 711, 99
The list of prime factors of all numbers are
Prime factors of 111 are 3 x 37
Prime factors of 711 are 3 x 3 x 79
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 111, 711, 99 is 3.
Steps to Calculate GCD of 111, 711, 99 using LCM Formula
Given numbers are 111, 711, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(111, 711) = 26307
GCD(111, 711) = ( 111 x 711 ) / 26307
= 111 / 711
= 111
Step2:
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
= 3 / 99
= 3
So, Greatest Common Divisor of 111, 711, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 111, 711, 99
Given numbers are 111, 711, 99
The greatest common divisor of numbers 111, 711, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 711, 99 is 3.
FAQs on GCD of 111, 711, 99 Calculator
1. What is the GCD of 111, 711, 99?
GCD of given numbers 111, 711, 99 is 3
2. How to calculate the greatest common divisor of 111, 711, 99?
We can find the highest common divisor of 111, 711, 99 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 111, 711, 99 i.e 3.
3. How can I use the GCD of 111, 711, 99Calculator?
Out the numbers 111, 711, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.