Online GCD Calculator is useful to find the GCD of 504, 528, 282, 220 quickly. Get the easiest ways to solve the greatest common divisor of 504, 528, 282, 220 i.e 2 in different methods as follows.
Given Input numbers are 504, 528, 282, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (504, 528, 282, 220) = 2.
Given numbers are 504, 528, 282, 220
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 282 are 2 x 3 x 47
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 504, 528, 282, 220 is 2.
Given numbers are 504, 528, 282, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 528) = 11088
GCD(504, 528) = ( 504 x 528 ) / 11088
= 504 / 528
= 504
Step2:
LCM(24, 282) = 1128
GCD(24, 282) = ( 24 x 282 ) / 1128
= 24 / 282
= 24
Step3:
LCM(6, 220) = 660
GCD(6, 220) = ( 6 x 220 ) / 660
= 6 / 220
= 6
So, Greatest Common Divisor of 504, 528, 282, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 528, 282, 220
The greatest common divisor of numbers 504, 528, 282, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 528, 282, 220 is 2.
1. What is the GCD of 504, 528, 282, 220?
GCD of given numbers 504, 528, 282, 220 is 2
2. How to calculate the greatest common divisor of 504, 528, 282, 220?
We can find the highest common divisor of 504, 528, 282, 220 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 504, 528, 282, 220 i.e 2.
3. How can I use the GCD of 504, 528, 282, 220Calculator?
Out the numbers 504, 528, 282, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.