Online GCD Calculator is useful to find the GCD of 728, 696, 164, 158 quickly. Get the easiest ways to solve the greatest common divisor of 728, 696, 164, 158 i.e 2 in different methods as follows.
Given Input numbers are 728, 696, 164, 158
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
GCD of numbers is the greatest common divisor
So, the GCD (728, 696, 164, 158) = 2.
Given numbers are 728, 696, 164, 158
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 164 are 2 x 2 x 41
Prime factors of 158 are 2 x 79
The highest common occurrence is 21
Therefore, GCD of 728, 696, 164, 158 is 2.
Given numbers are 728, 696, 164, 158
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 696) = 63336
GCD(728, 696) = ( 728 x 696 ) / 63336
= 728 / 696
= 728
Step2:
LCM(8, 164) = 328
GCD(8, 164) = ( 8 x 164 ) / 328
= 8 / 164
= 8
Step3:
LCM(4, 158) = 316
GCD(4, 158) = ( 4 x 158 ) / 316
= 4 / 158
= 4
So, Greatest Common Divisor of 728, 696, 164, 158 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 696, 164, 158
The greatest common divisor of numbers 728, 696, 164, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 696, 164, 158 is 2.
1. What is the GCD of 728, 696, 164, 158?
GCD of given numbers 728, 696, 164, 158 is 2
2. How to calculate the greatest common divisor of 728, 696, 164, 158?
We can find the highest common divisor of 728, 696, 164, 158 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 728, 696, 164, 158 i.e 2.
3. How can I use the GCD of 728, 696, 164, 158Calculator?
Out the numbers 728, 696, 164, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.