Online GCD Calculator is useful to find the GCD of 612, 906, 651 quickly. Get the easiest ways to solve the greatest common divisor of 612, 906, 651 i.e 3 in different methods as follows.
Given Input numbers are 612, 906, 651
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 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
GCD of numbers is the greatest common divisor
So, the GCD (612, 906, 651) = 3.
Given numbers are 612, 906, 651
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 906 are 2 x 3 x 151
Prime factors of 651 are 3 x 7 x 31
The highest common occurrence is 31
Therefore, GCD of 612, 906, 651 is 3.
Given numbers are 612, 906, 651
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 906) = 92412
GCD(612, 906) = ( 612 x 906 ) / 92412
= 612 / 906
= 612
Step2:
LCM(6, 651) = 1302
GCD(6, 651) = ( 6 x 651 ) / 1302
= 6 / 651
= 6
So, Greatest Common Divisor of 612, 906, 651 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 906, 651
The greatest common divisor of numbers 612, 906, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 906, 651 is 3.
1. What is the GCD of 612, 906, 651?
GCD of given numbers 612, 906, 651 is 3
2. How to calculate the greatest common divisor of 612, 906, 651?
We can find the highest common divisor of 612, 906, 651 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, 906, 651 i.e 3.
3. How can I use the GCD of 612, 906, 651Calculator?
Out the numbers 612, 906, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.