Online GCD Calculator is useful to find the GCD of 378, 399, 855, 843 quickly. Get the easiest ways to solve the greatest common divisor of 378, 399, 855, 843 i.e 3 in different methods as follows.
Given Input numbers are 378, 399, 855, 843
In the factoring method, we have to find the divisors of all numbers
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 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
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 (378, 399, 855, 843) = 3.
Given numbers are 378, 399, 855, 843
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 399 are 3 x 7 x 19
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 843 are 3 x 281
The highest common occurrence is 31
Therefore, GCD of 378, 399, 855, 843 is 3.
Given numbers are 378, 399, 855, 843
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 399) = 7182
GCD(378, 399) = ( 378 x 399 ) / 7182
= 378 / 399
= 378
Step2:
LCM(21, 855) = 5985
GCD(21, 855) = ( 21 x 855 ) / 5985
= 21 / 855
= 21
Step3:
LCM(3, 843) = 843
GCD(3, 843) = ( 3 x 843 ) / 843
= 3 / 843
= 3
So, Greatest Common Divisor of 378, 399, 855, 843 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 399, 855, 843
The greatest common divisor of numbers 378, 399, 855, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 399, 855, 843 is 3.
1. What is the GCD of 378, 399, 855, 843?
GCD of given numbers 378, 399, 855, 843 is 3
2. How to calculate the greatest common divisor of 378, 399, 855, 843?
We can find the highest common divisor of 378, 399, 855, 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 378, 399, 855, 843 i.e 3.
3. How can I use the GCD of 378, 399, 855, 843Calculator?
Out the numbers 378, 399, 855, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.