Online GCD Calculator is useful to find the GCD of 906, 759, 165, 636 quickly. Get the easiest ways to solve the greatest common divisor of 906, 759, 165, 636 i.e 3 in different methods as follows.
Given Input numbers are 906, 759, 165, 636
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 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (906, 759, 165, 636) = 3.
Given numbers are 906, 759, 165, 636
The list of prime factors of all numbers are
Prime factors of 906 are 2 x 3 x 151
Prime factors of 759 are 3 x 11 x 23
Prime factors of 165 are 3 x 5 x 11
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 906, 759, 165, 636 is 3.
Given numbers are 906, 759, 165, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(906, 759) = 229218
GCD(906, 759) = ( 906 x 759 ) / 229218
= 906 / 759
= 906
Step2:
LCM(3, 165) = 165
GCD(3, 165) = ( 3 x 165 ) / 165
= 3 / 165
= 3
Step3:
LCM(3, 636) = 636
GCD(3, 636) = ( 3 x 636 ) / 636
= 3 / 636
= 3
So, Greatest Common Divisor of 906, 759, 165, 636 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 906, 759, 165, 636
The greatest common divisor of numbers 906, 759, 165, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 759, 165, 636 is 3.
1. What is the GCD of 906, 759, 165, 636?
GCD of given numbers 906, 759, 165, 636 is 3
2. How to calculate the greatest common divisor of 906, 759, 165, 636?
We can find the highest common divisor of 906, 759, 165, 636 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, 759, 165, 636 i.e 3.
3. How can I use the GCD of 906, 759, 165, 636Calculator?
Out the numbers 906, 759, 165, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.