Online GCD Calculator is useful to find the GCD of 309, 426, 909, 951 quickly. Get the easiest ways to solve the greatest common divisor of 309, 426, 909, 951 i.e 3 in different methods as follows.
Given Input numbers are 309, 426, 909, 951
In the factoring method, we have to find the divisors of all numbers
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 951 :
The positive integer divisors of 951 that completely divides 951 are.
1, 3, 317, 951
GCD of numbers is the greatest common divisor
So, the GCD (309, 426, 909, 951) = 3.
Given numbers are 309, 426, 909, 951
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 426 are 2 x 3 x 71
Prime factors of 909 are 3 x 3 x 101
Prime factors of 951 are 3 x 317
The highest common occurrence is 31
Therefore, GCD of 309, 426, 909, 951 is 3.
Given numbers are 309, 426, 909, 951
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 426) = 43878
GCD(309, 426) = ( 309 x 426 ) / 43878
= 309 / 426
= 309
Step2:
LCM(3, 909) = 909
GCD(3, 909) = ( 3 x 909 ) / 909
= 3 / 909
= 3
Step3:
LCM(3, 951) = 951
GCD(3, 951) = ( 3 x 951 ) / 951
= 3 / 951
= 3
So, Greatest Common Divisor of 309, 426, 909, 951 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 426, 909, 951
The greatest common divisor of numbers 309, 426, 909, 951 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 426, 909, 951 is 3.
1. What is the GCD of 309, 426, 909, 951?
GCD of given numbers 309, 426, 909, 951 is 3
2. How to calculate the greatest common divisor of 309, 426, 909, 951?
We can find the highest common divisor of 309, 426, 909, 951 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 309, 426, 909, 951 i.e 3.
3. How can I use the GCD of 309, 426, 909, 951Calculator?
Out the numbers 309, 426, 909, 951 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.