Online GCD Calculator is useful to find the GCD of 786, 731, 180, 378 quickly. Get the easiest ways to solve the greatest common divisor of 786, 731, 180, 378 i.e 1 in different methods as follows.
Given Input numbers are 786, 731, 180, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 (786, 731, 180, 378) = 1.
Given numbers are 786, 731, 180, 378
The list of prime factors of all numbers are
Prime factors of 786 are 2 x 3 x 131
Prime factors of 731 are 17 x 43
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
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 786, 731, 180, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(786, 731) = 574566
GCD(786, 731) = ( 786 x 731 ) / 574566
= 786 / 731
= 786
Step2:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 786, 731, 180, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 786, 731, 180, 378
The greatest common divisor of numbers 786, 731, 180, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 731, 180, 378 is 1.
1. What is the GCD of 786, 731, 180, 378?
GCD of given numbers 786, 731, 180, 378 is 1
2. How to calculate the greatest common divisor of 786, 731, 180, 378?
We can find the highest common divisor of 786, 731, 180, 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 786, 731, 180, 378 i.e 1.
3. How can I use the GCD of 786, 731, 180, 378Calculator?
Out the numbers 786, 731, 180, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.