Online GCD Calculator is useful to find the GCD of 386, 242, 720, 500 quickly. Get the easiest ways to solve the greatest common divisor of 386, 242, 720, 500 i.e 2 in different methods as follows.
Given Input numbers are 386, 242, 720, 500
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
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 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
GCD of numbers is the greatest common divisor
So, the GCD (386, 242, 720, 500) = 2.
Given numbers are 386, 242, 720, 500
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 242 are 2 x 11 x 11
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 386, 242, 720, 500 is 2.
Given numbers are 386, 242, 720, 500
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 242) = 46706
GCD(386, 242) = ( 386 x 242 ) / 46706
= 386 / 242
= 386
Step2:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
Step3:
LCM(2, 500) = 500
GCD(2, 500) = ( 2 x 500 ) / 500
= 2 / 500
= 2
So, Greatest Common Divisor of 386, 242, 720, 500 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 242, 720, 500
The greatest common divisor of numbers 386, 242, 720, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 242, 720, 500 is 2.
1. What is the GCD of 386, 242, 720, 500?
GCD of given numbers 386, 242, 720, 500 is 2
2. How to calculate the greatest common divisor of 386, 242, 720, 500?
We can find the highest common divisor of 386, 242, 720, 500 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 386, 242, 720, 500 i.e 2.
3. How can I use the GCD of 386, 242, 720, 500Calculator?
Out the numbers 386, 242, 720, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.