Online GCD Calculator is useful to find the GCD of 502, 288, 488, 434 quickly. Get the easiest ways to solve the greatest common divisor of 502, 288, 488, 434 i.e 2 in different methods as follows.
Given Input numbers are 502, 288, 488, 434
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (502, 288, 488, 434) = 2.
Given numbers are 502, 288, 488, 434
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 434 are 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 502, 288, 488, 434 is 2.
Given numbers are 502, 288, 488, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 288) = 72288
GCD(502, 288) = ( 502 x 288 ) / 72288
= 502 / 288
= 502
Step2:
LCM(2, 488) = 488
GCD(2, 488) = ( 2 x 488 ) / 488
= 2 / 488
= 2
Step3:
LCM(2, 434) = 434
GCD(2, 434) = ( 2 x 434 ) / 434
= 2 / 434
= 2
So, Greatest Common Divisor of 502, 288, 488, 434 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 288, 488, 434
The greatest common divisor of numbers 502, 288, 488, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 288, 488, 434 is 2.
1. What is the GCD of 502, 288, 488, 434?
GCD of given numbers 502, 288, 488, 434 is 2
2. How to calculate the greatest common divisor of 502, 288, 488, 434?
We can find the highest common divisor of 502, 288, 488, 434 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, 288, 488, 434 i.e 2.
3. How can I use the GCD of 502, 288, 488, 434Calculator?
Out the numbers 502, 288, 488, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.