Online GCD Calculator is useful to find the GCD of 550, 636, 360, 678 quickly. Get the easiest ways to solve the greatest common divisor of 550, 636, 360, 678 i.e 2 in different methods as follows.
Given Input numbers are 550, 636, 360, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (550, 636, 360, 678) = 2.
Given numbers are 550, 636, 360, 678
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 550, 636, 360, 678 is 2.
Given numbers are 550, 636, 360, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 636) = 174900
GCD(550, 636) = ( 550 x 636 ) / 174900
= 550 / 636
= 550
Step2:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 550, 636, 360, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 636, 360, 678
The greatest common divisor of numbers 550, 636, 360, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 636, 360, 678 is 2.
1. What is the GCD of 550, 636, 360, 678?
GCD of given numbers 550, 636, 360, 678 is 2
2. How to calculate the greatest common divisor of 550, 636, 360, 678?
We can find the highest common divisor of 550, 636, 360, 678 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 550, 636, 360, 678 i.e 2.
3. How can I use the GCD of 550, 636, 360, 678Calculator?
Out the numbers 550, 636, 360, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.