Online GCD Calculator is useful to find the GCD of 108, 660, 441, 145 quickly. Get the easiest ways to solve the greatest common divisor of 108, 660, 441, 145 i.e 1 in different methods as follows.
Given Input numbers are 108, 660, 441, 145
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
GCD of numbers is the greatest common divisor
So, the GCD (108, 660, 441, 145) = 1.
Given numbers are 108, 660, 441, 145
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 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 145 are 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 660, 441, 145
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 660) = 5940
GCD(108, 660) = ( 108 x 660 ) / 5940
= 108 / 660
= 108
Step2:
LCM(12, 441) = 1764
GCD(12, 441) = ( 12 x 441 ) / 1764
= 12 / 441
= 12
Step3:
LCM(3, 145) = 435
GCD(3, 145) = ( 3 x 145 ) / 435
= 3 / 145
= 3
So, Greatest Common Divisor of 108, 660, 441, 145 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 660, 441, 145
The greatest common divisor of numbers 108, 660, 441, 145 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 660, 441, 145 is 1.
1. What is the GCD of 108, 660, 441, 145?
GCD of given numbers 108, 660, 441, 145 is 1
2. How to calculate the greatest common divisor of 108, 660, 441, 145?
We can find the highest common divisor of 108, 660, 441, 145 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, 660, 441, 145 i.e 1.
3. How can I use the GCD of 108, 660, 441, 145Calculator?
Out the numbers 108, 660, 441, 145 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.