Online GCD Calculator is useful to find the GCD of 588, 189, 145, 378 quickly. Get the easiest ways to solve the greatest common divisor of 588, 189, 145, 378 i.e 1 in different methods as follows.
Given Input numbers are 588, 189, 145, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
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 (588, 189, 145, 378) = 1.
Given numbers are 588, 189, 145, 378
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 145 are 5 x 29
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 588, 189, 145, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 189) = 5292
GCD(588, 189) = ( 588 x 189 ) / 5292
= 588 / 189
= 588
Step2:
LCM(21, 145) = 3045
GCD(21, 145) = ( 21 x 145 ) / 3045
= 21 / 145
= 21
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 588, 189, 145, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 189, 145, 378
The greatest common divisor of numbers 588, 189, 145, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 189, 145, 378 is 1.
1. What is the GCD of 588, 189, 145, 378?
GCD of given numbers 588, 189, 145, 378 is 1
2. How to calculate the greatest common divisor of 588, 189, 145, 378?
We can find the highest common divisor of 588, 189, 145, 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 588, 189, 145, 378 i.e 1.
3. How can I use the GCD of 588, 189, 145, 378Calculator?
Out the numbers 588, 189, 145, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.