Online GCD Calculator is useful to find the GCD of 196, 180, 452, 350 quickly. Get the easiest ways to solve the greatest common divisor of 196, 180, 452, 350 i.e 2 in different methods as follows.
Given Input numbers are 196, 180, 452, 350
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (196, 180, 452, 350) = 2.
Given numbers are 196, 180, 452, 350
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 452 are 2 x 2 x 113
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 196, 180, 452, 350 is 2.
Given numbers are 196, 180, 452, 350
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, 452) = 452
GCD(4, 452) = ( 4 x 452 ) / 452
= 4 / 452
= 4
Step3:
LCM(4, 350) = 700
GCD(4, 350) = ( 4 x 350 ) / 700
= 4 / 350
= 4
So, Greatest Common Divisor of 196, 180, 452, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 180, 452, 350
The greatest common divisor of numbers 196, 180, 452, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 180, 452, 350 is 2.
1. What is the GCD of 196, 180, 452, 350?
GCD of given numbers 196, 180, 452, 350 is 2
2. How to calculate the greatest common divisor of 196, 180, 452, 350?
We can find the highest common divisor of 196, 180, 452, 350 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, 452, 350 i.e 2.
3. How can I use the GCD of 196, 180, 452, 350Calculator?
Out the numbers 196, 180, 452, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.