Online GCD Calculator is useful to find the GCD of 134, 416, 172, 150 quickly. Get the easiest ways to solve the greatest common divisor of 134, 416, 172, 150 i.e 2 in different methods as follows.
Given Input numbers are 134, 416, 172, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (134, 416, 172, 150) = 2.
Given numbers are 134, 416, 172, 150
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 172 are 2 x 2 x 43
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 134, 416, 172, 150 is 2.
Given numbers are 134, 416, 172, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 416) = 27872
GCD(134, 416) = ( 134 x 416 ) / 27872
= 134 / 416
= 134
Step2:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
Step3:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
So, Greatest Common Divisor of 134, 416, 172, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 416, 172, 150
The greatest common divisor of numbers 134, 416, 172, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 416, 172, 150 is 2.
1. What is the GCD of 134, 416, 172, 150?
GCD of given numbers 134, 416, 172, 150 is 2
2. How to calculate the greatest common divisor of 134, 416, 172, 150?
We can find the highest common divisor of 134, 416, 172, 150 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 134, 416, 172, 150 i.e 2.
3. How can I use the GCD of 134, 416, 172, 150Calculator?
Out the numbers 134, 416, 172, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.