Online GCD Calculator is useful to find the GCD of 180, 646, 848 quickly. Get the easiest ways to solve the greatest common divisor of 180, 646, 848 i.e 2 in different methods as follows.
Given Input numbers are 180, 646, 848
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 848 :
The positive integer divisors of 848 that completely divides 848 are.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
GCD of numbers is the greatest common divisor
So, the GCD (180, 646, 848) = 2.
Given numbers are 180, 646, 848
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 646 are 2 x 17 x 19
Prime factors of 848 are 2 x 2 x 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 180, 646, 848 is 2.
Given numbers are 180, 646, 848
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 646) = 58140
GCD(180, 646) = ( 180 x 646 ) / 58140
= 180 / 646
= 180
Step2:
LCM(2, 848) = 848
GCD(2, 848) = ( 2 x 848 ) / 848
= 2 / 848
= 2
So, Greatest Common Divisor of 180, 646, 848 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 646, 848
The greatest common divisor of numbers 180, 646, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 646, 848 is 2.
1. What is the GCD of 180, 646, 848?
GCD of given numbers 180, 646, 848 is 2
2. How to calculate the greatest common divisor of 180, 646, 848?
We can find the highest common divisor of 180, 646, 848 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, 646, 848 i.e 2.
3. How can I use the GCD of 180, 646, 848Calculator?
Out the numbers 180, 646, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.