Online GCD Calculator is useful to find the GCD of 381, 279, 651, 426 quickly. Get the easiest ways to solve the greatest common divisor of 381, 279, 651, 426 i.e 3 in different methods as follows.
Given Input numbers are 381, 279, 651, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
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 (381, 279, 651, 426) = 3.
Given numbers are 381, 279, 651, 426
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 279 are 3 x 3 x 31
Prime factors of 651 are 3 x 7 x 31
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 381, 279, 651, 426 is 3.
Given numbers are 381, 279, 651, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 279) = 35433
GCD(381, 279) = ( 381 x 279 ) / 35433
= 381 / 279
= 381
Step2:
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
= 3 / 651
= 3
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 381, 279, 651, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 381, 279, 651, 426
The greatest common divisor of numbers 381, 279, 651, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 279, 651, 426 is 3.
1. What is the GCD of 381, 279, 651, 426?
GCD of given numbers 381, 279, 651, 426 is 3
2. How to calculate the greatest common divisor of 381, 279, 651, 426?
We can find the highest common divisor of 381, 279, 651, 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 381, 279, 651, 426 i.e 3.
3. How can I use the GCD of 381, 279, 651, 426Calculator?
Out the numbers 381, 279, 651, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.