Online GCD Calculator is useful to find the GCD of 450, 934, 988, 180 quickly. Get the easiest ways to solve the greatest common divisor of 450, 934, 988, 180 i.e 2 in different methods as follows.
Given Input numbers are 450, 934, 988, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 934 :
The positive integer divisors of 934 that completely divides 934 are.
1, 2, 467, 934
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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
GCD of numbers is the greatest common divisor
So, the GCD (450, 934, 988, 180) = 2.
Given numbers are 450, 934, 988, 180
The list of prime factors of all numbers are
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 934 are 2 x 467
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 450, 934, 988, 180 is 2.
Given numbers are 450, 934, 988, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(450, 934) = 210150
GCD(450, 934) = ( 450 x 934 ) / 210150
= 450 / 934
= 450
Step2:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 450, 934, 988, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 450, 934, 988, 180
The greatest common divisor of numbers 450, 934, 988, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 934, 988, 180 is 2.
1. What is the GCD of 450, 934, 988, 180?
GCD of given numbers 450, 934, 988, 180 is 2
2. How to calculate the greatest common divisor of 450, 934, 988, 180?
We can find the highest common divisor of 450, 934, 988, 180 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 450, 934, 988, 180 i.e 2.
3. How can I use the GCD of 450, 934, 988, 180Calculator?
Out the numbers 450, 934, 988, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.