Online GCD Calculator is useful to find the GCD of 906, 270, 171, 651 quickly. Get the easiest ways to solve the greatest common divisor of 906, 270, 171, 651 i.e 3 in different methods as follows.
Given Input numbers are 906, 270, 171, 651
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 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
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 (906, 270, 171, 651) = 3.
Given numbers are 906, 270, 171, 651
The list of prime factors of all numbers are
Prime factors of 906 are 2 x 3 x 151
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 171 are 3 x 3 x 19
Prime factors of 651 are 3 x 7 x 31
The highest common occurrence is 31
Therefore, GCD of 906, 270, 171, 651 is 3.
Given numbers are 906, 270, 171, 651
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(906, 270) = 40770
GCD(906, 270) = ( 906 x 270 ) / 40770
= 906 / 270
= 906
Step2:
LCM(6, 171) = 342
GCD(6, 171) = ( 6 x 171 ) / 342
= 6 / 171
= 6
Step3:
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
= 3 / 651
= 3
So, Greatest Common Divisor of 906, 270, 171, 651 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 906, 270, 171, 651
The greatest common divisor of numbers 906, 270, 171, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 270, 171, 651 is 3.
1. What is the GCD of 906, 270, 171, 651?
GCD of given numbers 906, 270, 171, 651 is 3
2. How to calculate the greatest common divisor of 906, 270, 171, 651?
We can find the highest common divisor of 906, 270, 171, 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 906, 270, 171, 651 i.e 3.
3. How can I use the GCD of 906, 270, 171, 651Calculator?
Out the numbers 906, 270, 171, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.