Online GCD Calculator is useful to find the GCD of 574, 722, 732, 864 quickly. Get the easiest ways to solve the greatest common divisor of 574, 722, 732, 864 i.e 2 in different methods as follows.
Given Input numbers are 574, 722, 732, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
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
GCD of numbers is the greatest common divisor
So, the GCD (574, 722, 732, 864) = 2.
Given numbers are 574, 722, 732, 864
The list of prime factors of all numbers are
Prime factors of 574 are 2 x 7 x 41
Prime factors of 722 are 2 x 19 x 19
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 574, 722, 732, 864 is 2.
Given numbers are 574, 722, 732, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(574, 722) = 207214
GCD(574, 722) = ( 574 x 722 ) / 207214
= 574 / 722
= 574
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 574, 722, 732, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 574, 722, 732, 864
The greatest common divisor of numbers 574, 722, 732, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 722, 732, 864 is 2.
1. What is the GCD of 574, 722, 732, 864?
GCD of given numbers 574, 722, 732, 864 is 2
2. How to calculate the greatest common divisor of 574, 722, 732, 864?
We can find the highest common divisor of 574, 722, 732, 864 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 574, 722, 732, 864 i.e 2.
3. How can I use the GCD of 574, 722, 732, 864Calculator?
Out the numbers 574, 722, 732, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.