Online GCD Calculator is useful to find the GCD of 378, 584, 363, 270 quickly. Get the easiest ways to solve the greatest common divisor of 378, 584, 363, 270 i.e 1 in different methods as follows.
Given Input numbers are 378, 584, 363, 270
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 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (378, 584, 363, 270) = 1.
Given numbers are 378, 584, 363, 270
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 584 are 2 x 2 x 2 x 73
Prime factors of 363 are 3 x 11 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 378, 584, 363, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 584) = 110376
GCD(378, 584) = ( 378 x 584 ) / 110376
= 378 / 584
= 378
Step2:
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
= 2 / 363
= 2
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 378, 584, 363, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 378, 584, 363, 270
The greatest common divisor of numbers 378, 584, 363, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 584, 363, 270 is 1.
1. What is the GCD of 378, 584, 363, 270?
GCD of given numbers 378, 584, 363, 270 is 1
2. How to calculate the greatest common divisor of 378, 584, 363, 270?
We can find the highest common divisor of 378, 584, 363, 270 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, 584, 363, 270 i.e 1.
3. How can I use the GCD of 378, 584, 363, 270Calculator?
Out the numbers 378, 584, 363, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.