Online GCD Calculator is useful to find the GCD of 550, 700, 180, 368 quickly. Get the easiest ways to solve the greatest common divisor of 550, 700, 180, 368 i.e 2 in different methods as follows.
Given Input numbers are 550, 700, 180, 368
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 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (550, 700, 180, 368) = 2.
Given numbers are 550, 700, 180, 368
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 550, 700, 180, 368 is 2.
Given numbers are 550, 700, 180, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 700) = 7700
GCD(550, 700) = ( 550 x 700 ) / 7700
= 550 / 700
= 550
Step2:
LCM(50, 180) = 900
GCD(50, 180) = ( 50 x 180 ) / 900
= 50 / 180
= 50
Step3:
LCM(10, 368) = 1840
GCD(10, 368) = ( 10 x 368 ) / 1840
= 10 / 368
= 10
So, Greatest Common Divisor of 550, 700, 180, 368 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 700, 180, 368
The greatest common divisor of numbers 550, 700, 180, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 700, 180, 368 is 2.
1. What is the GCD of 550, 700, 180, 368?
GCD of given numbers 550, 700, 180, 368 is 2
2. How to calculate the greatest common divisor of 550, 700, 180, 368?
We can find the highest common divisor of 550, 700, 180, 368 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, 700, 180, 368 i.e 2.
3. How can I use the GCD of 550, 700, 180, 368Calculator?
Out the numbers 550, 700, 180, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.