Online GCD Calculator is useful to find the GCD of 108, 752, 928, 146 quickly. Get the easiest ways to solve the greatest common divisor of 108, 752, 928, 146 i.e 2 in different methods as follows.
Given Input numbers are 108, 752, 928, 146
In the factoring method, we have to find the divisors of all numbers
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
GCD of numbers is the greatest common divisor
So, the GCD (108, 752, 928, 146) = 2.
Given numbers are 108, 752, 928, 146
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 146 are 2 x 73
The highest common occurrence is 21
Therefore, GCD of 108, 752, 928, 146 is 2.
Given numbers are 108, 752, 928, 146
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 752) = 20304
GCD(108, 752) = ( 108 x 752 ) / 20304
= 108 / 752
= 108
Step2:
LCM(4, 928) = 928
GCD(4, 928) = ( 4 x 928 ) / 928
= 4 / 928
= 4
Step3:
LCM(4, 146) = 292
GCD(4, 146) = ( 4 x 146 ) / 292
= 4 / 146
= 4
So, Greatest Common Divisor of 108, 752, 928, 146 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 752, 928, 146
The greatest common divisor of numbers 108, 752, 928, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 752, 928, 146 is 2.
1. What is the GCD of 108, 752, 928, 146?
GCD of given numbers 108, 752, 928, 146 is 2
2. How to calculate the greatest common divisor of 108, 752, 928, 146?
We can find the highest common divisor of 108, 752, 928, 146 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 108, 752, 928, 146 i.e 2.
3. How can I use the GCD of 108, 752, 928, 146Calculator?
Out the numbers 108, 752, 928, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.