Online GCD Calculator is useful to find the GCD of 132, 796, 744, 616 quickly. Get the easiest ways to solve the greatest common divisor of 132, 796, 744, 616 i.e 4 in different methods as follows.
Given Input numbers are 132, 796, 744, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (132, 796, 744, 616) = 4.
Given numbers are 132, 796, 744, 616
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 796 are 2 x 2 x 199
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The highest common occurrence is 22
Therefore, GCD of 132, 796, 744, 616 is 4.
Given numbers are 132, 796, 744, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 796) = 26268
GCD(132, 796) = ( 132 x 796 ) / 26268
= 132 / 796
= 132
Step2:
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
= 4 / 744
= 4
Step3:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
So, Greatest Common Divisor of 132, 796, 744, 616 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 796, 744, 616
The greatest common divisor of numbers 132, 796, 744, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 796, 744, 616 is 4.
1. What is the GCD of 132, 796, 744, 616?
GCD of given numbers 132, 796, 744, 616 is 4
2. How to calculate the greatest common divisor of 132, 796, 744, 616?
We can find the highest common divisor of 132, 796, 744, 616 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 132, 796, 744, 616 i.e 4.
3. How can I use the GCD of 132, 796, 744, 616Calculator?
Out the numbers 132, 796, 744, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.