Online GCD Calculator is useful to find the GCD of 132, 242, 434, 786 quickly. Get the easiest ways to solve the greatest common divisor of 132, 242, 434, 786 i.e 2 in different methods as follows.
Given Input numbers are 132, 242, 434, 786
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 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
GCD of numbers is the greatest common divisor
So, the GCD (132, 242, 434, 786) = 2.
Given numbers are 132, 242, 434, 786
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 242 are 2 x 11 x 11
Prime factors of 434 are 2 x 7 x 31
Prime factors of 786 are 2 x 3 x 131
The highest common occurrence is 21
Therefore, GCD of 132, 242, 434, 786 is 2.
Given numbers are 132, 242, 434, 786
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 242) = 1452
GCD(132, 242) = ( 132 x 242 ) / 1452
= 132 / 242
= 132
Step2:
LCM(22, 434) = 4774
GCD(22, 434) = ( 22 x 434 ) / 4774
= 22 / 434
= 22
Step3:
LCM(2, 786) = 786
GCD(2, 786) = ( 2 x 786 ) / 786
= 2 / 786
= 2
So, Greatest Common Divisor of 132, 242, 434, 786 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 242, 434, 786
The greatest common divisor of numbers 132, 242, 434, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 242, 434, 786 is 2.
1. What is the GCD of 132, 242, 434, 786?
GCD of given numbers 132, 242, 434, 786 is 2
2. How to calculate the greatest common divisor of 132, 242, 434, 786?
We can find the highest common divisor of 132, 242, 434, 786 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, 242, 434, 786 i.e 2.
3. How can I use the GCD of 132, 242, 434, 786Calculator?
Out the numbers 132, 242, 434, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.