Online GCD Calculator is useful to find the GCD of 862, 506, 720, 550 quickly. Get the easiest ways to solve the greatest common divisor of 862, 506, 720, 550 i.e 2 in different methods as follows.
Given Input numbers are 862, 506, 720, 550
In the factoring method, we have to find the divisors of all numbers
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 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 (862, 506, 720, 550) = 2.
Given numbers are 862, 506, 720, 550
The list of prime factors of all numbers are
Prime factors of 862 are 2 x 431
Prime factors of 506 are 2 x 11 x 23
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 550 are 2 x 5 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 862, 506, 720, 550 is 2.
Given numbers are 862, 506, 720, 550
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(862, 506) = 218086
GCD(862, 506) = ( 862 x 506 ) / 218086
= 862 / 506
= 862
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
So, Greatest Common Divisor of 862, 506, 720, 550 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 862, 506, 720, 550
The greatest common divisor of numbers 862, 506, 720, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 506, 720, 550 is 2.
1. What is the GCD of 862, 506, 720, 550?
GCD of given numbers 862, 506, 720, 550 is 2
2. How to calculate the greatest common divisor of 862, 506, 720, 550?
We can find the highest common divisor of 862, 506, 720, 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 862, 506, 720, 550 i.e 2.
3. How can I use the GCD of 862, 506, 720, 550Calculator?
Out the numbers 862, 506, 720, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.