Online GCD Calculator is useful to find the GCD of 452, 220, 304, 520 quickly. Get the easiest ways to solve the greatest common divisor of 452, 220, 304, 520 i.e 4 in different methods as follows.
Given Input numbers are 452, 220, 304, 520
In the factoring method, we have to find the divisors of all numbers
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (452, 220, 304, 520) = 4.
Given numbers are 452, 220, 304, 520
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The highest common occurrence is 22
Therefore, GCD of 452, 220, 304, 520 is 4.
Given numbers are 452, 220, 304, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 220) = 24860
GCD(452, 220) = ( 452 x 220 ) / 24860
= 452 / 220
= 452
Step2:
LCM(4, 304) = 304
GCD(4, 304) = ( 4 x 304 ) / 304
= 4 / 304
= 4
Step3:
LCM(4, 520) = 520
GCD(4, 520) = ( 4 x 520 ) / 520
= 4 / 520
= 4
So, Greatest Common Divisor of 452, 220, 304, 520 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 220, 304, 520
The greatest common divisor of numbers 452, 220, 304, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 220, 304, 520 is 4.
1. What is the GCD of 452, 220, 304, 520?
GCD of given numbers 452, 220, 304, 520 is 4
2. How to calculate the greatest common divisor of 452, 220, 304, 520?
We can find the highest common divisor of 452, 220, 304, 520 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 452, 220, 304, 520 i.e 4.
3. How can I use the GCD of 452, 220, 304, 520Calculator?
Out the numbers 452, 220, 304, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.