Online GCD Calculator is useful to find the GCD of 741, 288, 150 quickly. Get the easiest ways to solve the greatest common divisor of 741, 288, 150 i.e 3 in different methods as follows.
Given Input numbers are 741, 288, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
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
GCD of numbers is the greatest common divisor
So, the GCD (741, 288, 150) = 3.
Given numbers are 741, 288, 150
The list of prime factors of all numbers are
Prime factors of 741 are 3 x 13 x 19
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 741, 288, 150 is 3.
Given numbers are 741, 288, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(741, 288) = 71136
GCD(741, 288) = ( 741 x 288 ) / 71136
= 741 / 288
= 741
Step2:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
So, Greatest Common Divisor of 741, 288, 150 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 741, 288, 150
The greatest common divisor of numbers 741, 288, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 288, 150 is 3.
1. What is the GCD of 741, 288, 150?
GCD of given numbers 741, 288, 150 is 3
2. How to calculate the greatest common divisor of 741, 288, 150?
We can find the highest common divisor of 741, 288, 150 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 741, 288, 150 i.e 3.
3. How can I use the GCD of 741, 288, 150Calculator?
Out the numbers 741, 288, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.