Online GCD Calculator is useful to find the GCD of 502, 250, 616, 212 quickly. Get the easiest ways to solve the greatest common divisor of 502, 250, 616, 212 i.e 2 in different methods as follows.
Given Input numbers are 502, 250, 616, 212
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 250 :
The positive integer divisors of 250 that completely divides 250 are.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (502, 250, 616, 212) = 2.
Given numbers are 502, 250, 616, 212
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 250 are 2 x 5 x 5 x 5
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 502, 250, 616, 212 is 2.
Given numbers are 502, 250, 616, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 250) = 62750
GCD(502, 250) = ( 502 x 250 ) / 62750
= 502 / 250
= 502
Step2:
LCM(2, 616) = 616
GCD(2, 616) = ( 2 x 616 ) / 616
= 2 / 616
= 2
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 502, 250, 616, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 250, 616, 212
The greatest common divisor of numbers 502, 250, 616, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 250, 616, 212 is 2.
1. What is the GCD of 502, 250, 616, 212?
GCD of given numbers 502, 250, 616, 212 is 2
2. How to calculate the greatest common divisor of 502, 250, 616, 212?
We can find the highest common divisor of 502, 250, 616, 212 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, 250, 616, 212 i.e 2.
3. How can I use the GCD of 502, 250, 616, 212Calculator?
Out the numbers 502, 250, 616, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.