Online GCD Calculator is useful to find the GCD of 152, 344, 726, 428 quickly. Get the easiest ways to solve the greatest common divisor of 152, 344, 726, 428 i.e 2 in different methods as follows.
Given Input numbers are 152, 344, 726, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (152, 344, 726, 428) = 2.
Given numbers are 152, 344, 726, 428
The list of prime factors of all numbers are
Prime factors of 152 are 2 x 2 x 2 x 19
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 152, 344, 726, 428 is 2.
Given numbers are 152, 344, 726, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(152, 344) = 6536
GCD(152, 344) = ( 152 x 344 ) / 6536
= 152 / 344
= 152
Step2:
LCM(8, 726) = 2904
GCD(8, 726) = ( 8 x 726 ) / 2904
= 8 / 726
= 8
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 152, 344, 726, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 152, 344, 726, 428
The greatest common divisor of numbers 152, 344, 726, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 344, 726, 428 is 2.
1. What is the GCD of 152, 344, 726, 428?
GCD of given numbers 152, 344, 726, 428 is 2
2. How to calculate the greatest common divisor of 152, 344, 726, 428?
We can find the highest common divisor of 152, 344, 726, 428 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 152, 344, 726, 428 i.e 2.
3. How can I use the GCD of 152, 344, 726, 428Calculator?
Out the numbers 152, 344, 726, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.