Online GCD Calculator is useful to find the GCD of 360, 720, 560, 550 quickly. Get the easiest ways to solve the greatest common divisor of 360, 720, 560, 550 i.e 10 in different methods as follows.
Given Input numbers are 360, 720, 560, 550
In the factoring method, we have to find the divisors of all numbers
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 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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
GCD of numbers is the greatest common divisor
So, the GCD (360, 720, 560, 550) = 10.
Given numbers are 360, 720, 560, 550
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21 x 51
Therefore, GCD of 360, 720, 560, 550 is 10.
Given numbers are 360, 720, 560, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 720) = 720
GCD(360, 720) = ( 360 x 720 ) / 720
= 360 / 720
= 360
Step2:
LCM(360, 560) = 5040
GCD(360, 560) = ( 360 x 560 ) / 5040
= 360 / 560
= 360
Step3:
LCM(40, 550) = 2200
GCD(40, 550) = ( 40 x 550 ) / 2200
= 40 / 550
= 40
So, Greatest Common Divisor of 360, 720, 560, 550 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 720, 560, 550
The greatest common divisor of numbers 360, 720, 560, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 720, 560, 550 is 10.
1. What is the GCD of 360, 720, 560, 550?
GCD of given numbers 360, 720, 560, 550 is 10
2. How to calculate the greatest common divisor of 360, 720, 560, 550?
We can find the highest common divisor of 360, 720, 560, 550 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 360, 720, 560, 550 i.e 10.
3. How can I use the GCD of 360, 720, 560, 550Calculator?
Out the numbers 360, 720, 560, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.