Online GCD Calculator is useful to find the GCD of 872, 105, 365, 378 quickly. Get the easiest ways to solve the greatest common divisor of 872, 105, 365, 378 i.e 1 in different methods as follows.
Given Input numbers are 872, 105, 365, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (872, 105, 365, 378) = 1.
Given numbers are 872, 105, 365, 378
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 105 are 3 x 5 x 7
Prime factors of 365 are 5 x 73
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 872, 105, 365, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 105) = 91560
GCD(872, 105) = ( 872 x 105 ) / 91560
= 872 / 105
= 872
Step2:
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
= 1 / 365
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 872, 105, 365, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 105, 365, 378
The greatest common divisor of numbers 872, 105, 365, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 105, 365, 378 is 1.
1. What is the GCD of 872, 105, 365, 378?
GCD of given numbers 872, 105, 365, 378 is 1
2. How to calculate the greatest common divisor of 872, 105, 365, 378?
We can find the highest common divisor of 872, 105, 365, 378 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 872, 105, 365, 378 i.e 1.
3. How can I use the GCD of 872, 105, 365, 378Calculator?
Out the numbers 872, 105, 365, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.