Online GCD Calculator is useful to find the GCD of 150, 415, 120, 298 quickly. Get the easiest ways to solve the greatest common divisor of 150, 415, 120, 298 i.e 1 in different methods as follows.
Given Input numbers are 150, 415, 120, 298
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 415 :
The positive integer divisors of 415 that completely divides 415 are.
1, 5, 83, 415
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (150, 415, 120, 298) = 1.
Given numbers are 150, 415, 120, 298
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 415 are 5 x 83
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 298 are 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 415, 120, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 415) = 12450
GCD(150, 415) = ( 150 x 415 ) / 12450
= 150 / 415
= 150
Step2:
LCM(5, 120) = 120
GCD(5, 120) = ( 5 x 120 ) / 120
= 5 / 120
= 5
Step3:
LCM(5, 298) = 1490
GCD(5, 298) = ( 5 x 298 ) / 1490
= 5 / 298
= 5
So, Greatest Common Divisor of 150, 415, 120, 298 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 415, 120, 298
The greatest common divisor of numbers 150, 415, 120, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 415, 120, 298 is 1.
1. What is the GCD of 150, 415, 120, 298?
GCD of given numbers 150, 415, 120, 298 is 1
2. How to calculate the greatest common divisor of 150, 415, 120, 298?
We can find the highest common divisor of 150, 415, 120, 298 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, 415, 120, 298 i.e 1.
3. How can I use the GCD of 150, 415, 120, 298Calculator?
Out the numbers 150, 415, 120, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.