Online GCD Calculator is useful to find the GCD of 726, 420, 879, 438 quickly. Get the easiest ways to solve the greatest common divisor of 726, 420, 879, 438 i.e 3 in different methods as follows.
Given Input numbers are 726, 420, 879, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 879 :
The positive integer divisors of 879 that completely divides 879 are.
1, 3, 293, 879
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (726, 420, 879, 438) = 3.
Given numbers are 726, 420, 879, 438
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 879 are 3 x 293
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 31
Therefore, GCD of 726, 420, 879, 438 is 3.
Given numbers are 726, 420, 879, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 420) = 50820
GCD(726, 420) = ( 726 x 420 ) / 50820
= 726 / 420
= 726
Step2:
LCM(6, 879) = 1758
GCD(6, 879) = ( 6 x 879 ) / 1758
= 6 / 879
= 6
Step3:
LCM(3, 438) = 438
GCD(3, 438) = ( 3 x 438 ) / 438
= 3 / 438
= 3
So, Greatest Common Divisor of 726, 420, 879, 438 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 420, 879, 438
The greatest common divisor of numbers 726, 420, 879, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 420, 879, 438 is 3.
1. What is the GCD of 726, 420, 879, 438?
GCD of given numbers 726, 420, 879, 438 is 3
2. How to calculate the greatest common divisor of 726, 420, 879, 438?
We can find the highest common divisor of 726, 420, 879, 438 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 726, 420, 879, 438 i.e 3.
3. How can I use the GCD of 726, 420, 879, 438Calculator?
Out the numbers 726, 420, 879, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.