Online GCD Calculator is useful to find the GCD of 309, 648, 426, 850 quickly. Get the easiest ways to solve the greatest common divisor of 309, 648, 426, 850 i.e 1 in different methods as follows.
Given Input numbers are 309, 648, 426, 850
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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
GCD of numbers is the greatest common divisor
So, the GCD (309, 648, 426, 850) = 1.
Given numbers are 309, 648, 426, 850
The list of prime factors of all numbers are
Prime factors of 309 are 3 x 103
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 426 are 2 x 3 x 71
Prime factors of 850 are 2 x 5 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 309, 648, 426, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(309, 648) = 66744
GCD(309, 648) = ( 309 x 648 ) / 66744
= 309 / 648
= 309
Step2:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
Step3:
LCM(3, 850) = 2550
GCD(3, 850) = ( 3 x 850 ) / 2550
= 3 / 850
= 3
So, Greatest Common Divisor of 309, 648, 426, 850 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 309, 648, 426, 850
The greatest common divisor of numbers 309, 648, 426, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 648, 426, 850 is 1.
1. What is the GCD of 309, 648, 426, 850?
GCD of given numbers 309, 648, 426, 850 is 1
2. How to calculate the greatest common divisor of 309, 648, 426, 850?
We can find the highest common divisor of 309, 648, 426, 850 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, 648, 426, 850 i.e 1.
3. How can I use the GCD of 309, 648, 426, 850Calculator?
Out the numbers 309, 648, 426, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.