Online GCD Calculator is useful to find the GCD of 150, 728, 649, 422 quickly. Get the easiest ways to solve the greatest common divisor of 150, 728, 649, 422 i.e 1 in different methods as follows.
Given Input numbers are 150, 728, 649, 422
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (150, 728, 649, 422) = 1.
Given numbers are 150, 728, 649, 422
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 649 are 11 x 59
Prime factors of 422 are 2 x 211
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 728, 649, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 728) = 54600
GCD(150, 728) = ( 150 x 728 ) / 54600
= 150 / 728
= 150
Step2:
LCM(2, 649) = 1298
GCD(2, 649) = ( 2 x 649 ) / 1298
= 2 / 649
= 2
Step3:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
So, Greatest Common Divisor of 150, 728, 649, 422 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 728, 649, 422
The greatest common divisor of numbers 150, 728, 649, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 728, 649, 422 is 1.
1. What is the GCD of 150, 728, 649, 422?
GCD of given numbers 150, 728, 649, 422 is 1
2. How to calculate the greatest common divisor of 150, 728, 649, 422?
We can find the highest common divisor of 150, 728, 649, 422 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, 728, 649, 422 i.e 1.
3. How can I use the GCD of 150, 728, 649, 422Calculator?
Out the numbers 150, 728, 649, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.