Online GCD Calculator is useful to find the GCD of 502, 726, 108, 520 quickly. Get the easiest ways to solve the greatest common divisor of 502, 726, 108, 520 i.e 2 in different methods as follows.
Given Input numbers are 502, 726, 108, 520
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 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (502, 726, 108, 520) = 2.
Given numbers are 502, 726, 108, 520
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 502, 726, 108, 520 is 2.
Given numbers are 502, 726, 108, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 726) = 182226
GCD(502, 726) = ( 502 x 726 ) / 182226
= 502 / 726
= 502
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
Step3:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
So, Greatest Common Divisor of 502, 726, 108, 520 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 726, 108, 520
The greatest common divisor of numbers 502, 726, 108, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 726, 108, 520 is 2.
1. What is the GCD of 502, 726, 108, 520?
GCD of given numbers 502, 726, 108, 520 is 2
2. How to calculate the greatest common divisor of 502, 726, 108, 520?
We can find the highest common divisor of 502, 726, 108, 520 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, 726, 108, 520 i.e 2.
3. How can I use the GCD of 502, 726, 108, 520Calculator?
Out the numbers 502, 726, 108, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.