Online GCD Calculator is useful to find the GCD of 724, 452, 388, 156 quickly. Get the easiest ways to solve the greatest common divisor of 724, 452, 388, 156 i.e 4 in different methods as follows.
Given Input numbers are 724, 452, 388, 156
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (724, 452, 388, 156) = 4.
Given numbers are 724, 452, 388, 156
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 452 are 2 x 2 x 113
Prime factors of 388 are 2 x 2 x 97
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 724, 452, 388, 156 is 4.
Given numbers are 724, 452, 388, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 452) = 81812
GCD(724, 452) = ( 724 x 452 ) / 81812
= 724 / 452
= 724
Step2:
LCM(4, 388) = 388
GCD(4, 388) = ( 4 x 388 ) / 388
= 4 / 388
= 4
Step3:
LCM(4, 156) = 156
GCD(4, 156) = ( 4 x 156 ) / 156
= 4 / 156
= 4
So, Greatest Common Divisor of 724, 452, 388, 156 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 452, 388, 156
The greatest common divisor of numbers 724, 452, 388, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 452, 388, 156 is 4.
1. What is the GCD of 724, 452, 388, 156?
GCD of given numbers 724, 452, 388, 156 is 4
2. How to calculate the greatest common divisor of 724, 452, 388, 156?
We can find the highest common divisor of 724, 452, 388, 156 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, 452, 388, 156 i.e 4.
3. How can I use the GCD of 724, 452, 388, 156Calculator?
Out the numbers 724, 452, 388, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.