Online GCD Calculator is useful to find the GCD of 724, 652, 192, 990 quickly. Get the easiest ways to solve the greatest common divisor of 724, 652, 192, 990 i.e 2 in different methods as follows.
Given Input numbers are 724, 652, 192, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (724, 652, 192, 990) = 2.
Given numbers are 724, 652, 192, 990
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 652 are 2 x 2 x 163
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 724, 652, 192, 990 is 2.
Given numbers are 724, 652, 192, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 652) = 118012
GCD(724, 652) = ( 724 x 652 ) / 118012
= 724 / 652
= 724
Step2:
LCM(4, 192) = 192
GCD(4, 192) = ( 4 x 192 ) / 192
= 4 / 192
= 4
Step3:
LCM(4, 990) = 1980
GCD(4, 990) = ( 4 x 990 ) / 1980
= 4 / 990
= 4
So, Greatest Common Divisor of 724, 652, 192, 990 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 652, 192, 990
The greatest common divisor of numbers 724, 652, 192, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 652, 192, 990 is 2.
1. What is the GCD of 724, 652, 192, 990?
GCD of given numbers 724, 652, 192, 990 is 2
2. How to calculate the greatest common divisor of 724, 652, 192, 990?
We can find the highest common divisor of 724, 652, 192, 990 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 724, 652, 192, 990 i.e 2.
3. How can I use the GCD of 724, 652, 192, 990Calculator?
Out the numbers 724, 652, 192, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.