Online GCD Calculator is useful to find the GCD of 150, 513, 951, 384 quickly. Get the easiest ways to solve the greatest common divisor of 150, 513, 951, 384 i.e 3 in different methods as follows.
Given Input numbers are 150, 513, 951, 384
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 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 951 :
The positive integer divisors of 951 that completely divides 951 are.
1, 3, 317, 951
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (150, 513, 951, 384) = 3.
Given numbers are 150, 513, 951, 384
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 951 are 3 x 317
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 31
Therefore, GCD of 150, 513, 951, 384 is 3.
Given numbers are 150, 513, 951, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 513) = 25650
GCD(150, 513) = ( 150 x 513 ) / 25650
= 150 / 513
= 150
Step2:
LCM(3, 951) = 951
GCD(3, 951) = ( 3 x 951 ) / 951
= 3 / 951
= 3
Step3:
LCM(3, 384) = 384
GCD(3, 384) = ( 3 x 384 ) / 384
= 3 / 384
= 3
So, Greatest Common Divisor of 150, 513, 951, 384 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 513, 951, 384
The greatest common divisor of numbers 150, 513, 951, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 513, 951, 384 is 3.
1. What is the GCD of 150, 513, 951, 384?
GCD of given numbers 150, 513, 951, 384 is 3
2. How to calculate the greatest common divisor of 150, 513, 951, 384?
We can find the highest common divisor of 150, 513, 951, 384 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, 513, 951, 384 i.e 3.
3. How can I use the GCD of 150, 513, 951, 384Calculator?
Out the numbers 150, 513, 951, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.