Online GCD Calculator is useful to find the GCD of 978, 730, 184, 380 quickly. Get the easiest ways to solve the greatest common divisor of 978, 730, 184, 380 i.e 2 in different methods as follows.
Given Input numbers are 978, 730, 184, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (978, 730, 184, 380) = 2.
Given numbers are 978, 730, 184, 380
The list of prime factors of all numbers are
Prime factors of 978 are 2 x 3 x 163
Prime factors of 730 are 2 x 5 x 73
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 978, 730, 184, 380 is 2.
Given numbers are 978, 730, 184, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(978, 730) = 356970
GCD(978, 730) = ( 978 x 730 ) / 356970
= 978 / 730
= 978
Step2:
LCM(2, 184) = 184
GCD(2, 184) = ( 2 x 184 ) / 184
= 2 / 184
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 978, 730, 184, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 978, 730, 184, 380
The greatest common divisor of numbers 978, 730, 184, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 730, 184, 380 is 2.
1. What is the GCD of 978, 730, 184, 380?
GCD of given numbers 978, 730, 184, 380 is 2
2. How to calculate the greatest common divisor of 978, 730, 184, 380?
We can find the highest common divisor of 978, 730, 184, 380 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 978, 730, 184, 380 i.e 2.
3. How can I use the GCD of 978, 730, 184, 380Calculator?
Out the numbers 978, 730, 184, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.