Online GCD Calculator is useful to find the GCD of 146, 796, 154, 726 quickly. Get the easiest ways to solve the greatest common divisor of 146, 796, 154, 726 i.e 2 in different methods as follows.
Given Input numbers are 146, 796, 154, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
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
GCD of numbers is the greatest common divisor
So, the GCD (146, 796, 154, 726) = 2.
Given numbers are 146, 796, 154, 726
The list of prime factors of all numbers are
Prime factors of 146 are 2 x 73
Prime factors of 796 are 2 x 2 x 199
Prime factors of 154 are 2 x 7 x 11
Prime factors of 726 are 2 x 3 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 146, 796, 154, 726 is 2.
Given numbers are 146, 796, 154, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(146, 796) = 58108
GCD(146, 796) = ( 146 x 796 ) / 58108
= 146 / 796
= 146
Step2:
LCM(2, 154) = 154
GCD(2, 154) = ( 2 x 154 ) / 154
= 2 / 154
= 2
Step3:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
So, Greatest Common Divisor of 146, 796, 154, 726 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 146, 796, 154, 726
The greatest common divisor of numbers 146, 796, 154, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 796, 154, 726 is 2.
1. What is the GCD of 146, 796, 154, 726?
GCD of given numbers 146, 796, 154, 726 is 2
2. How to calculate the greatest common divisor of 146, 796, 154, 726?
We can find the highest common divisor of 146, 796, 154, 726 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 146, 796, 154, 726 i.e 2.
3. How can I use the GCD of 146, 796, 154, 726Calculator?
Out the numbers 146, 796, 154, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.