Online GCD Calculator is useful to find the GCD of 502, 284, 532, 576 quickly. Get the easiest ways to solve the greatest common divisor of 502, 284, 532, 576 i.e 2 in different methods as follows.
Given Input numbers are 502, 284, 532, 576
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 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (502, 284, 532, 576) = 2.
Given numbers are 502, 284, 532, 576
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 284 are 2 x 2 x 71
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 502, 284, 532, 576 is 2.
Given numbers are 502, 284, 532, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 284) = 71284
GCD(502, 284) = ( 502 x 284 ) / 71284
= 502 / 284
= 502
Step2:
LCM(2, 532) = 532
GCD(2, 532) = ( 2 x 532 ) / 532
= 2 / 532
= 2
Step3:
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
= 2 / 576
= 2
So, Greatest Common Divisor of 502, 284, 532, 576 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 284, 532, 576
The greatest common divisor of numbers 502, 284, 532, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 284, 532, 576 is 2.
1. What is the GCD of 502, 284, 532, 576?
GCD of given numbers 502, 284, 532, 576 is 2
2. How to calculate the greatest common divisor of 502, 284, 532, 576?
We can find the highest common divisor of 502, 284, 532, 576 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, 284, 532, 576 i.e 2.
3. How can I use the GCD of 502, 284, 532, 576Calculator?
Out the numbers 502, 284, 532, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.