Online GCD Calculator is useful to find the GCD of 132, 430, 356, 918 quickly. Get the easiest ways to solve the greatest common divisor of 132, 430, 356, 918 i.e 2 in different methods as follows.
Given Input numbers are 132, 430, 356, 918
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 430 :
The positive integer divisors of 430 that completely divides 430 are.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (132, 430, 356, 918) = 2.
Given numbers are 132, 430, 356, 918
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 430 are 2 x 5 x 43
Prime factors of 356 are 2 x 2 x 89
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 132, 430, 356, 918 is 2.
Given numbers are 132, 430, 356, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 430) = 28380
GCD(132, 430) = ( 132 x 430 ) / 28380
= 132 / 430
= 132
Step2:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 132, 430, 356, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 430, 356, 918
The greatest common divisor of numbers 132, 430, 356, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 430, 356, 918 is 2.
1. What is the GCD of 132, 430, 356, 918?
GCD of given numbers 132, 430, 356, 918 is 2
2. How to calculate the greatest common divisor of 132, 430, 356, 918?
We can find the highest common divisor of 132, 430, 356, 918 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, 430, 356, 918 i.e 2.
3. How can I use the GCD of 132, 430, 356, 918Calculator?
Out the numbers 132, 430, 356, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.