Online GCD Calculator is useful to find the GCD of 879, 660, 285, 426 quickly. Get the easiest ways to solve the greatest common divisor of 879, 660, 285, 426 i.e 3 in different methods as follows.
Given Input numbers are 879, 660, 285, 426
In the factoring method, we have to find the divisors of all numbers
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
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 285 :
The positive integer divisors of 285 that completely divides 285 are.
1, 3, 5, 15, 19, 57, 95, 285
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 (879, 660, 285, 426) = 3.
Given numbers are 879, 660, 285, 426
The list of prime factors of all numbers are
Prime factors of 879 are 3 x 293
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 285 are 3 x 5 x 19
Prime factors of 426 are 2 x 3 x 71
The highest common occurrence is 31
Therefore, GCD of 879, 660, 285, 426 is 3.
Given numbers are 879, 660, 285, 426
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(879, 660) = 193380
GCD(879, 660) = ( 879 x 660 ) / 193380
= 879 / 660
= 879
Step2:
LCM(3, 285) = 285
GCD(3, 285) = ( 3 x 285 ) / 285
= 3 / 285
= 3
Step3:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
So, Greatest Common Divisor of 879, 660, 285, 426 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 879, 660, 285, 426
The greatest common divisor of numbers 879, 660, 285, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 660, 285, 426 is 3.
1. What is the GCD of 879, 660, 285, 426?
GCD of given numbers 879, 660, 285, 426 is 3
2. How to calculate the greatest common divisor of 879, 660, 285, 426?
We can find the highest common divisor of 879, 660, 285, 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 879, 660, 285, 426 i.e 3.
3. How can I use the GCD of 879, 660, 285, 426Calculator?
Out the numbers 879, 660, 285, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.