Online GCD Calculator is useful to find the GCD of 452, 564, 864, 308 quickly. Get the easiest ways to solve the greatest common divisor of 452, 564, 864, 308 i.e 4 in different methods as follows.
Given Input numbers are 452, 564, 864, 308
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (452, 564, 864, 308) = 4.
Given numbers are 452, 564, 864, 308
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 308 are 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 452, 564, 864, 308 is 4.
Given numbers are 452, 564, 864, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 564) = 63732
GCD(452, 564) = ( 452 x 564 ) / 63732
= 452 / 564
= 452
Step2:
LCM(4, 864) = 864
GCD(4, 864) = ( 4 x 864 ) / 864
= 4 / 864
= 4
Step3:
LCM(4, 308) = 308
GCD(4, 308) = ( 4 x 308 ) / 308
= 4 / 308
= 4
So, Greatest Common Divisor of 452, 564, 864, 308 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 564, 864, 308
The greatest common divisor of numbers 452, 564, 864, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 564, 864, 308 is 4.
1. What is the GCD of 452, 564, 864, 308?
GCD of given numbers 452, 564, 864, 308 is 4
2. How to calculate the greatest common divisor of 452, 564, 864, 308?
We can find the highest common divisor of 452, 564, 864, 308 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, 564, 864, 308 i.e 4.
3. How can I use the GCD of 452, 564, 864, 308Calculator?
Out the numbers 452, 564, 864, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.