Online GCD Calculator is useful to find the GCD of 906, 180, 747 quickly. Get the easiest ways to solve the greatest common divisor of 906, 180, 747 i.e 3 in different methods as follows.
Given Input numbers are 906, 180, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (906, 180, 747) = 3.
Given numbers are 906, 180, 747
The list of prime factors of all numbers are
Prime factors of 906 are 2 x 3 x 151
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 747 are 3 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 906, 180, 747 is 3.
Given numbers are 906, 180, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(906, 180) = 27180
GCD(906, 180) = ( 906 x 180 ) / 27180
= 906 / 180
= 906
Step2:
LCM(6, 747) = 1494
GCD(6, 747) = ( 6 x 747 ) / 1494
= 6 / 747
= 6
So, Greatest Common Divisor of 906, 180, 747 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 906, 180, 747
The greatest common divisor of numbers 906, 180, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 180, 747 is 3.
1. What is the GCD of 906, 180, 747?
GCD of given numbers 906, 180, 747 is 3
2. How to calculate the greatest common divisor of 906, 180, 747?
We can find the highest common divisor of 906, 180, 747 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 906, 180, 747 i.e 3.
3. How can I use the GCD of 906, 180, 747Calculator?
Out the numbers 906, 180, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.