Online GCD Calculator is useful to find the GCD of 132, 708, 434, 608 quickly. Get the easiest ways to solve the greatest common divisor of 132, 708, 434, 608 i.e 2 in different methods as follows.
Given Input numbers are 132, 708, 434, 608
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
GCD of numbers is the greatest common divisor
So, the GCD (132, 708, 434, 608) = 2.
Given numbers are 132, 708, 434, 608
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 434 are 2 x 7 x 31
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 132, 708, 434, 608 is 2.
Given numbers are 132, 708, 434, 608
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 708) = 7788
GCD(132, 708) = ( 132 x 708 ) / 7788
= 132 / 708
= 132
Step2:
LCM(12, 434) = 2604
GCD(12, 434) = ( 12 x 434 ) / 2604
= 12 / 434
= 12
Step3:
LCM(2, 608) = 608
GCD(2, 608) = ( 2 x 608 ) / 608
= 2 / 608
= 2
So, Greatest Common Divisor of 132, 708, 434, 608 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 708, 434, 608
The greatest common divisor of numbers 132, 708, 434, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 708, 434, 608 is 2.
1. What is the GCD of 132, 708, 434, 608?
GCD of given numbers 132, 708, 434, 608 is 2
2. How to calculate the greatest common divisor of 132, 708, 434, 608?
We can find the highest common divisor of 132, 708, 434, 608 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, 708, 434, 608 i.e 2.
3. How can I use the GCD of 132, 708, 434, 608Calculator?
Out the numbers 132, 708, 434, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.