Online GCD Calculator is useful to find the GCD of 488, 594, 532, 284 quickly. Get the easiest ways to solve the greatest common divisor of 488, 594, 532, 284 i.e 2 in different methods as follows.
Given Input numbers are 488, 594, 532, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 594 :
The positive integer divisors of 594 that completely divides 594 are.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
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 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (488, 594, 532, 284) = 2.
Given numbers are 488, 594, 532, 284
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 594 are 2 x 3 x 3 x 3 x 11
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 488, 594, 532, 284 is 2.
Given numbers are 488, 594, 532, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 594) = 144936
GCD(488, 594) = ( 488 x 594 ) / 144936
= 488 / 594
= 488
Step2:
LCM(2, 532) = 532
GCD(2, 532) = ( 2 x 532 ) / 532
= 2 / 532
= 2
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 488, 594, 532, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 594, 532, 284
The greatest common divisor of numbers 488, 594, 532, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 594, 532, 284 is 2.
1. What is the GCD of 488, 594, 532, 284?
GCD of given numbers 488, 594, 532, 284 is 2
2. How to calculate the greatest common divisor of 488, 594, 532, 284?
We can find the highest common divisor of 488, 594, 532, 284 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 488, 594, 532, 284 i.e 2.
3. How can I use the GCD of 488, 594, 532, 284Calculator?
Out the numbers 488, 594, 532, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.