Online GCD Calculator is useful to find the GCD of 150, 760, 287, 324 quickly. Get the easiest ways to solve the greatest common divisor of 150, 760, 287, 324 i.e 1 in different methods as follows.
Given Input numbers are 150, 760, 287, 324
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 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD of numbers is the greatest common divisor
So, the GCD (150, 760, 287, 324) = 1.
Given numbers are 150, 760, 287, 324
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 287 are 7 x 41
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 150, 760, 287, 324
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 760) = 11400
GCD(150, 760) = ( 150 x 760 ) / 11400
= 150 / 760
= 150
Step2:
LCM(10, 287) = 2870
GCD(10, 287) = ( 10 x 287 ) / 2870
= 10 / 287
= 10
Step3:
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
= 1 / 324
= 1
So, Greatest Common Divisor of 150, 760, 287, 324 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 760, 287, 324
The greatest common divisor of numbers 150, 760, 287, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 760, 287, 324 is 1.
1. What is the GCD of 150, 760, 287, 324?
GCD of given numbers 150, 760, 287, 324 is 1
2. How to calculate the greatest common divisor of 150, 760, 287, 324?
We can find the highest common divisor of 150, 760, 287, 324 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, 760, 287, 324 i.e 1.
3. How can I use the GCD of 150, 760, 287, 324Calculator?
Out the numbers 150, 760, 287, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.