GCD of 990, 938, 106 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 938, 106 quickly. Get the easiest ways to solve the greatest common divisor of 990, 938, 106 i.e 2 in different methods as follows.
Given Input numbers are 990, 938, 106
In the factoring method, we have to find the divisors of all numbers
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 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (990, 938, 106) = 2.
Given numbers are 990, 938, 106
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 938 are 2 x 7 x 67
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 990, 938, 106 is 2.
Steps to Calculate GCD of 990, 938, 106 using LCM Formula
Given numbers are 990, 938, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 938) = 464310
GCD(990, 938) = ( 990 x 938 ) / 464310
= 990 / 938
= 990
Step2:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
So, Greatest Common Divisor of 990, 938, 106 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 990, 938, 106
Given numbers are 990, 938, 106
The greatest common divisor of numbers 990, 938, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 938, 106 is 2.
FAQs on GCD of 990, 938, 106 Calculator
1. What is the GCD of 990, 938, 106?
GCD of given numbers 990, 938, 106 is 2
2. How to calculate the greatest common divisor of 990, 938, 106?
We can find the highest common divisor of 990, 938, 106 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 990, 938, 106 i.e 2.
3. How can I use the GCD of 990, 938, 106Calculator?
Out the numbers 990, 938, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.