Online GCD Calculator is useful to find the GCD of 399, 861, 660, 426 quickly. Get the easiest ways to solve the greatest common divisor of 399, 861, 660, 426 i.e 3 in different methods as follows.
Given Input numbers are 399, 861, 660, 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 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
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, 861, 660, 426) = 3.
Given numbers are 399, 861, 660, 426
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 861 are 3 x 7 x 41
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 399, 861, 660, 426 is 3.
Given numbers are 399, 861, 660, 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, 861) = 16359
GCD(399, 861) = ( 399 x 861 ) / 16359
= 399 / 861
= 399
Step2:
LCM(21, 660) = 4620
GCD(21, 660) = ( 21 x 660 ) / 4620
= 21 / 660
= 21
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 399, 861, 660, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 399, 861, 660, 426
The greatest common divisor of numbers 399, 861, 660, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 861, 660, 426 is 3.
1. What is the GCD of 399, 861, 660, 426?
GCD of given numbers 399, 861, 660, 426 is 3
2. How to calculate the greatest common divisor of 399, 861, 660, 426?
We can find the highest common divisor of 399, 861, 660, 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, 861, 660, 426 i.e 3.
3. How can I use the GCD of 399, 861, 660, 426Calculator?
Out the numbers 399, 861, 660, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.