Online GCD Calculator is useful to find the GCD of 150, 493, 975, 149 quickly. Get the easiest ways to solve the greatest common divisor of 150, 493, 975, 149 i.e 1 in different methods as follows.
Given Input numbers are 150, 493, 975, 149
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 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
GCD of numbers is the greatest common divisor
So, the GCD (150, 493, 975, 149) = 1.
Given numbers are 150, 493, 975, 149
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 493 are 17 x 29
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 149 are 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 493, 975, 149
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 493) = 73950
GCD(150, 493) = ( 150 x 493 ) / 73950
= 150 / 493
= 150
Step2:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
Step3:
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
= 1 / 149
= 1
So, Greatest Common Divisor of 150, 493, 975, 149 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 493, 975, 149
The greatest common divisor of numbers 150, 493, 975, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 493, 975, 149 is 1.
1. What is the GCD of 150, 493, 975, 149?
GCD of given numbers 150, 493, 975, 149 is 1
2. How to calculate the greatest common divisor of 150, 493, 975, 149?
We can find the highest common divisor of 150, 493, 975, 149 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, 493, 975, 149 i.e 1.
3. How can I use the GCD of 150, 493, 975, 149Calculator?
Out the numbers 150, 493, 975, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.