Online GCD Calculator is useful to find the GCD of 180, 398, 130, 402 quickly. Get the easiest ways to solve the greatest common divisor of 180, 398, 130, 402 i.e 2 in different methods as follows.
Given Input numbers are 180, 398, 130, 402
In the factoring method, we have to find the divisors of all numbers
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 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (180, 398, 130, 402) = 2.
Given numbers are 180, 398, 130, 402
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 398 are 2 x 199
Prime factors of 130 are 2 x 5 x 13
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 180, 398, 130, 402 is 2.
Given numbers are 180, 398, 130, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 398) = 35820
GCD(180, 398) = ( 180 x 398 ) / 35820
= 180 / 398
= 180
Step2:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 180, 398, 130, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 398, 130, 402
The greatest common divisor of numbers 180, 398, 130, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 398, 130, 402 is 2.
1. What is the GCD of 180, 398, 130, 402?
GCD of given numbers 180, 398, 130, 402 is 2
2. How to calculate the greatest common divisor of 180, 398, 130, 402?
We can find the highest common divisor of 180, 398, 130, 402 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 180, 398, 130, 402 i.e 2.
3. How can I use the GCD of 180, 398, 130, 402Calculator?
Out the numbers 180, 398, 130, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.