Online GCD Calculator is useful to find the GCD of 518, 350, 456, 132 quickly. Get the easiest ways to solve the greatest common divisor of 518, 350, 456, 132 i.e 2 in different methods as follows.
Given Input numbers are 518, 350, 456, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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
GCD of numbers is the greatest common divisor
So, the GCD (518, 350, 456, 132) = 2.
Given numbers are 518, 350, 456, 132
The list of prime factors of all numbers are
Prime factors of 518 are 2 x 7 x 37
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 518, 350, 456, 132 is 2.
Given numbers are 518, 350, 456, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(518, 350) = 12950
GCD(518, 350) = ( 518 x 350 ) / 12950
= 518 / 350
= 518
Step2:
LCM(14, 456) = 3192
GCD(14, 456) = ( 14 x 456 ) / 3192
= 14 / 456
= 14
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 518, 350, 456, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 518, 350, 456, 132
The greatest common divisor of numbers 518, 350, 456, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 350, 456, 132 is 2.
1. What is the GCD of 518, 350, 456, 132?
GCD of given numbers 518, 350, 456, 132 is 2
2. How to calculate the greatest common divisor of 518, 350, 456, 132?
We can find the highest common divisor of 518, 350, 456, 132 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 518, 350, 456, 132 i.e 2.
3. How can I use the GCD of 518, 350, 456, 132Calculator?
Out the numbers 518, 350, 456, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.