Online GCD Calculator is useful to find the GCD of 131, 150, 649, 990 quickly. Get the easiest ways to solve the greatest common divisor of 131, 150, 649, 990 i.e 1 in different methods as follows.
Given Input numbers are 131, 150, 649, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
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 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (131, 150, 649, 990) = 1.
Given numbers are 131, 150, 649, 990
The list of prime factors of all numbers are
Prime factors of 131 are 131
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 649 are 11 x 59
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 131, 150, 649, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(131, 150) = 19650
GCD(131, 150) = ( 131 x 150 ) / 19650
= 131 / 150
= 131
Step2:
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
= 1 / 649
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 131, 150, 649, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 131, 150, 649, 990
The greatest common divisor of numbers 131, 150, 649, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 150, 649, 990 is 1.
1. What is the GCD of 131, 150, 649, 990?
GCD of given numbers 131, 150, 649, 990 is 1
2. How to calculate the greatest common divisor of 131, 150, 649, 990?
We can find the highest common divisor of 131, 150, 649, 990 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 131, 150, 649, 990 i.e 1.
3. How can I use the GCD of 131, 150, 649, 990Calculator?
Out the numbers 131, 150, 649, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.