Online GCD Calculator is useful to find the GCD of 578, 272, 482, 220 quickly. Get the easiest ways to solve the greatest common divisor of 578, 272, 482, 220 i.e 2 in different methods as follows.
Given Input numbers are 578, 272, 482, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 578 :
The positive integer divisors of 578 that completely divides 578 are.
1, 2, 17, 34, 289, 578
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
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 (578, 272, 482, 220) = 2.
Given numbers are 578, 272, 482, 220
The list of prime factors of all numbers are
Prime factors of 578 are 2 x 17 x 17
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 482 are 2 x 241
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 578, 272, 482, 220 is 2.
Given numbers are 578, 272, 482, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(578, 272) = 4624
GCD(578, 272) = ( 578 x 272 ) / 4624
= 578 / 272
= 578
Step2:
LCM(34, 482) = 8194
GCD(34, 482) = ( 34 x 482 ) / 8194
= 34 / 482
= 34
Step3:
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
= 2 / 220
= 2
So, Greatest Common Divisor of 578, 272, 482, 220 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 578, 272, 482, 220
The greatest common divisor of numbers 578, 272, 482, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 578, 272, 482, 220 is 2.
1. What is the GCD of 578, 272, 482, 220?
GCD of given numbers 578, 272, 482, 220 is 2
2. How to calculate the greatest common divisor of 578, 272, 482, 220?
We can find the highest common divisor of 578, 272, 482, 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 578, 272, 482, 220 i.e 2.
3. How can I use the GCD of 578, 272, 482, 220Calculator?
Out the numbers 578, 272, 482, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.