Online GCD Calculator is useful to find the GCD of 399, 822, 969, 426 quickly. Get the easiest ways to solve the greatest common divisor of 399, 822, 969, 426 i.e 3 in different methods as follows.
Given Input numbers are 399, 822, 969, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
GCD of numbers is the greatest common divisor
So, the GCD (399, 822, 969, 426) = 3.
Given numbers are 399, 822, 969, 426
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 822 are 2 x 3 x 137
Prime factors of 969 are 3 x 17 x 19
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 399, 822, 969, 426 is 3.
Given numbers are 399, 822, 969, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 822) = 109326
GCD(399, 822) = ( 399 x 822 ) / 109326
= 399 / 822
= 399
Step2:
LCM(3, 969) = 969
GCD(3, 969) = ( 3 x 969 ) / 969
= 3 / 969
= 3
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 399, 822, 969, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 822, 969, 426
The greatest common divisor of numbers 399, 822, 969, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 822, 969, 426 is 3.
1. What is the GCD of 399, 822, 969, 426?
GCD of given numbers 399, 822, 969, 426 is 3
2. How to calculate the greatest common divisor of 399, 822, 969, 426?
We can find the highest common divisor of 399, 822, 969, 426 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 399, 822, 969, 426 i.e 3.
3. How can I use the GCD of 399, 822, 969, 426Calculator?
Out the numbers 399, 822, 969, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.