Online GCD Calculator is useful to find the GCD of 872, 288, 378, 843 quickly. Get the easiest ways to solve the greatest common divisor of 872, 288, 378, 843 i.e 1 in different methods as follows.
Given Input numbers are 872, 288, 378, 843
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
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
Divisors of 843 :
The positive integer divisors of 843 that completely divides 843 are.
1, 3, 281, 843
GCD of numbers is the greatest common divisor
So, the GCD (872, 288, 378, 843) = 1.
Given numbers are 872, 288, 378, 843
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 843 are 3 x 281
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 872, 288, 378, 843
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 288) = 31392
GCD(872, 288) = ( 872 x 288 ) / 31392
= 872 / 288
= 872
Step2:
LCM(8, 378) = 1512
GCD(8, 378) = ( 8 x 378 ) / 1512
= 8 / 378
= 8
Step3:
LCM(2, 843) = 1686
GCD(2, 843) = ( 2 x 843 ) / 1686
= 2 / 843
= 2
So, Greatest Common Divisor of 872, 288, 378, 843 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 288, 378, 843
The greatest common divisor of numbers 872, 288, 378, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 288, 378, 843 is 1.
1. What is the GCD of 872, 288, 378, 843?
GCD of given numbers 872, 288, 378, 843 is 1
2. How to calculate the greatest common divisor of 872, 288, 378, 843?
We can find the highest common divisor of 872, 288, 378, 843 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, 288, 378, 843 i.e 1.
3. How can I use the GCD of 872, 288, 378, 843Calculator?
Out the numbers 872, 288, 378, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.