Online GCD Calculator is useful to find the GCD of 196, 180, 130, 392 quickly. Get the easiest ways to solve the greatest common divisor of 196, 180, 130, 392 i.e 2 in different methods as follows.
Given Input numbers are 196, 180, 130, 392
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
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 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (196, 180, 130, 392) = 2.
Given numbers are 196, 180, 130, 392
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 130 are 2 x 5 x 13
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 196, 180, 130, 392 is 2.
Given numbers are 196, 180, 130, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 180) = 8820
GCD(196, 180) = ( 196 x 180 ) / 8820
= 196 / 180
= 196
Step2:
LCM(4, 130) = 260
GCD(4, 130) = ( 4 x 130 ) / 260
= 4 / 130
= 4
Step3:
LCM(2, 392) = 392
GCD(2, 392) = ( 2 x 392 ) / 392
= 2 / 392
= 2
So, Greatest Common Divisor of 196, 180, 130, 392 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 180, 130, 392
The greatest common divisor of numbers 196, 180, 130, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 180, 130, 392 is 2.
1. What is the GCD of 196, 180, 130, 392?
GCD of given numbers 196, 180, 130, 392 is 2
2. How to calculate the greatest common divisor of 196, 180, 130, 392?
We can find the highest common divisor of 196, 180, 130, 392 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 196, 180, 130, 392 i.e 2.
3. How can I use the GCD of 196, 180, 130, 392Calculator?
Out the numbers 196, 180, 130, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.