Online GCD Calculator is useful to find the GCD of 150, 394, 428, 272 quickly. Get the easiest ways to solve the greatest common divisor of 150, 394, 428, 272 i.e 2 in different methods as follows.
Given Input numbers are 150, 394, 428, 272
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (150, 394, 428, 272) = 2.
Given numbers are 150, 394, 428, 272
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 394 are 2 x 197
Prime factors of 428 are 2 x 2 x 107
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 150, 394, 428, 272 is 2.
Given numbers are 150, 394, 428, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 394) = 29550
GCD(150, 394) = ( 150 x 394 ) / 29550
= 150 / 394
= 150
Step2:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 150, 394, 428, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 394, 428, 272
The greatest common divisor of numbers 150, 394, 428, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 394, 428, 272 is 2.
1. What is the GCD of 150, 394, 428, 272?
GCD of given numbers 150, 394, 428, 272 is 2
2. How to calculate the greatest common divisor of 150, 394, 428, 272?
We can find the highest common divisor of 150, 394, 428, 272 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 150, 394, 428, 272 i.e 2.
3. How can I use the GCD of 150, 394, 428, 272Calculator?
Out the numbers 150, 394, 428, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.