Online GCD Calculator is useful to find the GCD of 861, 339, 879, 351 quickly. Get the easiest ways to solve the greatest common divisor of 861, 339, 879, 351 i.e 3 in different methods as follows.
Given Input numbers are 861, 339, 879, 351
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
GCD of numbers is the greatest common divisor
So, the GCD (861, 339, 879, 351) = 3.
Given numbers are 861, 339, 879, 351
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 339 are 3 x 113
Prime factors of 879 are 3 x 293
Prime factors of 351 are 3 x 3 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 861, 339, 879, 351 is 3.
Given numbers are 861, 339, 879, 351
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 339) = 97293
GCD(861, 339) = ( 861 x 339 ) / 97293
= 861 / 339
= 861
Step2:
LCM(3, 879) = 879
GCD(3, 879) = ( 3 x 879 ) / 879
= 3 / 879
= 3
Step3:
LCM(3, 351) = 351
GCD(3, 351) = ( 3 x 351 ) / 351
= 3 / 351
= 3
So, Greatest Common Divisor of 861, 339, 879, 351 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 339, 879, 351
The greatest common divisor of numbers 861, 339, 879, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 339, 879, 351 is 3.
1. What is the GCD of 861, 339, 879, 351?
GCD of given numbers 861, 339, 879, 351 is 3
2. How to calculate the greatest common divisor of 861, 339, 879, 351?
We can find the highest common divisor of 861, 339, 879, 351 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 861, 339, 879, 351 i.e 3.
3. How can I use the GCD of 861, 339, 879, 351Calculator?
Out the numbers 861, 339, 879, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.