Online GCD Calculator is useful to find the GCD of 118, 648, 664, 106 quickly. Get the easiest ways to solve the greatest common divisor of 118, 648, 664, 106 i.e 2 in different methods as follows.
Given Input numbers are 118, 648, 664, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
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 (118, 648, 664, 106) = 2.
Given numbers are 118, 648, 664, 106
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 118, 648, 664, 106 is 2.
Given numbers are 118, 648, 664, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 648) = 38232
GCD(118, 648) = ( 118 x 648 ) / 38232
= 118 / 648
= 118
Step2:
LCM(2, 664) = 664
GCD(2, 664) = ( 2 x 664 ) / 664
= 2 / 664
= 2
Step3:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
So, Greatest Common Divisor of 118, 648, 664, 106 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 648, 664, 106
The greatest common divisor of numbers 118, 648, 664, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 648, 664, 106 is 2.
1. What is the GCD of 118, 648, 664, 106?
GCD of given numbers 118, 648, 664, 106 is 2
2. How to calculate the greatest common divisor of 118, 648, 664, 106?
We can find the highest common divisor of 118, 648, 664, 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 118, 648, 664, 106 i.e 2.
3. How can I use the GCD of 118, 648, 664, 106Calculator?
Out the numbers 118, 648, 664, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.