Online GCD Calculator is useful to find the GCD of 108, 440, 672, 366 quickly. Get the easiest ways to solve the greatest common divisor of 108, 440, 672, 366 i.e 2 in different methods as follows.
Given Input numbers are 108, 440, 672, 366
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 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
GCD of numbers is the greatest common divisor
So, the GCD (108, 440, 672, 366) = 2.
Given numbers are 108, 440, 672, 366
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 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 366 are 2 x 3 x 61
The highest common occurrence is 21
Therefore, GCD of 108, 440, 672, 366 is 2.
Given numbers are 108, 440, 672, 366
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 440) = 11880
GCD(108, 440) = ( 108 x 440 ) / 11880
= 108 / 440
= 108
Step2:
LCM(4, 672) = 672
GCD(4, 672) = ( 4 x 672 ) / 672
= 4 / 672
= 4
Step3:
LCM(4, 366) = 732
GCD(4, 366) = ( 4 x 366 ) / 732
= 4 / 366
= 4
So, Greatest Common Divisor of 108, 440, 672, 366 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 440, 672, 366
The greatest common divisor of numbers 108, 440, 672, 366 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 440, 672, 366 is 2.
1. What is the GCD of 108, 440, 672, 366?
GCD of given numbers 108, 440, 672, 366 is 2
2. How to calculate the greatest common divisor of 108, 440, 672, 366?
We can find the highest common divisor of 108, 440, 672, 366 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, 440, 672, 366 i.e 2.
3. How can I use the GCD of 108, 440, 672, 366Calculator?
Out the numbers 108, 440, 672, 366 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.