GCD of 954, 138, 99 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 954, 138, 99 quickly. Get the easiest ways to solve the greatest common divisor of 954, 138, 99 i.e 3 in different methods as follows.
Given Input numbers are 954, 138, 99
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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 (954, 138, 99) = 3.
Given numbers are 954, 138, 99
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 138 are 2 x 3 x 23
Prime factors of 99 are 3 x 3 x 11
The highest common occurrence is 31
Therefore, GCD of 954, 138, 99 is 3.
Steps to Calculate GCD of 954, 138, 99 using LCM Formula
Given numbers are 954, 138, 99
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 138) = 21942
GCD(954, 138) = ( 954 x 138 ) / 21942
= 954 / 138
= 954
Step2:
LCM(6, 99) = 198
GCD(6, 99) = ( 6 x 99 ) / 198
= 6 / 99
= 6
So, Greatest Common Divisor of 954, 138, 99 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 954, 138, 99
Given numbers are 954, 138, 99
The greatest common divisor of numbers 954, 138, 99 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 138, 99 is 3.
FAQs on GCD of 954, 138, 99 Calculator
1. What is the GCD of 954, 138, 99?
GCD of given numbers 954, 138, 99 is 3
2. How to calculate the greatest common divisor of 954, 138, 99?
We can find the highest common divisor of 954, 138, 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 954, 138, 99 i.e 3.
3. How can I use the GCD of 954, 138, 99Calculator?
Out the numbers 954, 138, 99 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.