Online GCD Calculator is useful to find the GCD of 985, 180, 460 quickly. Get the easiest ways to solve the greatest common divisor of 985, 180, 460 i.e 5 in different methods as follows.
Given Input numbers are 985, 180, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
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 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (985, 180, 460) = 5.
Given numbers are 985, 180, 460
The list of prime factors of all numbers are
Prime factors of 985 are 5 x 197
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 51
Therefore, GCD of 985, 180, 460 is 5.
Given numbers are 985, 180, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(985, 180) = 35460
GCD(985, 180) = ( 985 x 180 ) / 35460
= 985 / 180
= 985
Step2:
LCM(5, 460) = 460
GCD(5, 460) = ( 5 x 460 ) / 460
= 5 / 460
= 5
So, Greatest Common Divisor of 985, 180, 460 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 985, 180, 460
The greatest common divisor of numbers 985, 180, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 180, 460 is 5.
1. What is the GCD of 985, 180, 460?
GCD of given numbers 985, 180, 460 is 5
2. How to calculate the greatest common divisor of 985, 180, 460?
We can find the highest common divisor of 985, 180, 460 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 985, 180, 460 i.e 5.
3. How can I use the GCD of 985, 180, 460Calculator?
Out the numbers 985, 180, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.