Online GCD Calculator is useful to find the GCD of 726, 546, 638, 966 quickly. Get the easiest ways to solve the greatest common divisor of 726, 546, 638, 966 i.e 2 in different methods as follows.
Given Input numbers are 726, 546, 638, 966
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 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
GCD of numbers is the greatest common divisor
So, the GCD (726, 546, 638, 966) = 2.
Given numbers are 726, 546, 638, 966
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 638 are 2 x 11 x 29
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 726, 546, 638, 966 is 2.
Given numbers are 726, 546, 638, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 546) = 66066
GCD(726, 546) = ( 726 x 546 ) / 66066
= 726 / 546
= 726
Step2:
LCM(6, 638) = 1914
GCD(6, 638) = ( 6 x 638 ) / 1914
= 6 / 638
= 6
Step3:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 726, 546, 638, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 546, 638, 966
The greatest common divisor of numbers 726, 546, 638, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 546, 638, 966 is 2.
1. What is the GCD of 726, 546, 638, 966?
GCD of given numbers 726, 546, 638, 966 is 2
2. How to calculate the greatest common divisor of 726, 546, 638, 966?
We can find the highest common divisor of 726, 546, 638, 966 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, 546, 638, 966 i.e 2.
3. How can I use the GCD of 726, 546, 638, 966Calculator?
Out the numbers 726, 546, 638, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.