Online GCD Calculator is useful to find the GCD of 378, 870, 384, 815 quickly. Get the easiest ways to solve the greatest common divisor of 378, 870, 384, 815 i.e 1 in different methods as follows.
Given Input numbers are 378, 870, 384, 815
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 815 :
The positive integer divisors of 815 that completely divides 815 are.
1, 5, 163, 815
GCD of numbers is the greatest common divisor
So, the GCD (378, 870, 384, 815) = 1.
Given numbers are 378, 870, 384, 815
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 870 are 2 x 3 x 5 x 29
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 815 are 5 x 163
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 870, 384, 815
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 870) = 54810
GCD(378, 870) = ( 378 x 870 ) / 54810
= 378 / 870
= 378
Step2:
LCM(6, 384) = 384
GCD(6, 384) = ( 6 x 384 ) / 384
= 6 / 384
= 6
Step3:
LCM(6, 815) = 4890
GCD(6, 815) = ( 6 x 815 ) / 4890
= 6 / 815
= 6
So, Greatest Common Divisor of 378, 870, 384, 815 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 870, 384, 815
The greatest common divisor of numbers 378, 870, 384, 815 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 870, 384, 815 is 1.
1. What is the GCD of 378, 870, 384, 815?
GCD of given numbers 378, 870, 384, 815 is 1
2. How to calculate the greatest common divisor of 378, 870, 384, 815?
We can find the highest common divisor of 378, 870, 384, 815 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, 870, 384, 815 i.e 1.
3. How can I use the GCD of 378, 870, 384, 815Calculator?
Out the numbers 378, 870, 384, 815 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.