Online GCD Calculator is useful to find the GCD of 612, 744, 687, 150 quickly. Get the easiest ways to solve the greatest common divisor of 612, 744, 687, 150 i.e 3 in different methods as follows.
Given Input numbers are 612, 744, 687, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 (612, 744, 687, 150) = 3.
Given numbers are 612, 744, 687, 150
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 687 are 3 x 229
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 612, 744, 687, 150 is 3.
Given numbers are 612, 744, 687, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 744) = 37944
GCD(612, 744) = ( 612 x 744 ) / 37944
= 612 / 744
= 612
Step2:
LCM(12, 687) = 2748
GCD(12, 687) = ( 12 x 687 ) / 2748
= 12 / 687
= 12
Step3:
LCM(3, 150) = 150
GCD(3, 150) = ( 3 x 150 ) / 150
= 3 / 150
= 3
So, Greatest Common Divisor of 612, 744, 687, 150 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 744, 687, 150
The greatest common divisor of numbers 612, 744, 687, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 744, 687, 150 is 3.
1. What is the GCD of 612, 744, 687, 150?
GCD of given numbers 612, 744, 687, 150 is 3
2. How to calculate the greatest common divisor of 612, 744, 687, 150?
We can find the highest common divisor of 612, 744, 687, 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 612, 744, 687, 150 i.e 3.
3. How can I use the GCD of 612, 744, 687, 150Calculator?
Out the numbers 612, 744, 687, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.