Online GCD Calculator is useful to find the GCD of 906, 822, 651, 201 quickly. Get the easiest ways to solve the greatest common divisor of 906, 822, 651, 201 i.e 3 in different methods as follows.
Given Input numbers are 906, 822, 651, 201
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
GCD of numbers is the greatest common divisor
So, the GCD (906, 822, 651, 201) = 3.
Given numbers are 906, 822, 651, 201
The list of prime factors of all numbers are
Prime factors of 906 are 2 x 3 x 151
Prime factors of 822 are 2 x 3 x 137
Prime factors of 651 are 3 x 7 x 31
Prime factors of 201 are 3 x 67
The highest common occurrence is 31
Therefore, GCD of 906, 822, 651, 201 is 3.
Given numbers are 906, 822, 651, 201
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(906, 822) = 124122
GCD(906, 822) = ( 906 x 822 ) / 124122
= 906 / 822
= 906
Step2:
LCM(6, 651) = 1302
GCD(6, 651) = ( 6 x 651 ) / 1302
= 6 / 651
= 6
Step3:
LCM(3, 201) = 201
GCD(3, 201) = ( 3 x 201 ) / 201
= 3 / 201
= 3
So, Greatest Common Divisor of 906, 822, 651, 201 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 906, 822, 651, 201
The greatest common divisor of numbers 906, 822, 651, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 822, 651, 201 is 3.
1. What is the GCD of 906, 822, 651, 201?
GCD of given numbers 906, 822, 651, 201 is 3
2. How to calculate the greatest common divisor of 906, 822, 651, 201?
We can find the highest common divisor of 906, 822, 651, 201 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, 822, 651, 201 i.e 3.
3. How can I use the GCD of 906, 822, 651, 201Calculator?
Out the numbers 906, 822, 651, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.