Online GCD Calculator is useful to find the GCD of 150, 149, 60 quickly. Get the easiest ways to solve the greatest common divisor of 150, 149, 60 i.e 1 in different methods as follows.
Given Input numbers are 150, 149, 60
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 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (150, 149, 60) = 1.
Given numbers are 150, 149, 60
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 149 are 149
Prime factors of 60 are 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 149, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 149) = 22350
GCD(150, 149) = ( 150 x 149 ) / 22350
= 150 / 149
= 150
Step2:
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
= 1 / 60
= 1
So, Greatest Common Divisor of 150, 149, 60 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 149, 60
The greatest common divisor of numbers 150, 149, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 149, 60 is 1.
1. What is the GCD of 150, 149, 60?
GCD of given numbers 150, 149, 60 is 1
2. How to calculate the greatest common divisor of 150, 149, 60?
We can find the highest common divisor of 150, 149, 60 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, 149, 60 i.e 1.
3. How can I use the GCD of 150, 149, 60Calculator?
Out the numbers 150, 149, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.