Online GCD Calculator is useful to find the GCD of 502, 114, 620, 360 quickly. Get the easiest ways to solve the greatest common divisor of 502, 114, 620, 360 i.e 2 in different methods as follows.
Given Input numbers are 502, 114, 620, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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
GCD of numbers is the greatest common divisor
So, the GCD (502, 114, 620, 360) = 2.
Given numbers are 502, 114, 620, 360
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 114 are 2 x 3 x 19
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 502, 114, 620, 360 is 2.
Given numbers are 502, 114, 620, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 114) = 28614
GCD(502, 114) = ( 502 x 114 ) / 28614
= 502 / 114
= 502
Step2:
LCM(2, 620) = 620
GCD(2, 620) = ( 2 x 620 ) / 620
= 2 / 620
= 2
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 502, 114, 620, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 114, 620, 360
The greatest common divisor of numbers 502, 114, 620, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 114, 620, 360 is 2.
1. What is the GCD of 502, 114, 620, 360?
GCD of given numbers 502, 114, 620, 360 is 2
2. How to calculate the greatest common divisor of 502, 114, 620, 360?
We can find the highest common divisor of 502, 114, 620, 360 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 502, 114, 620, 360 i.e 2.
3. How can I use the GCD of 502, 114, 620, 360Calculator?
Out the numbers 502, 114, 620, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.