Online GCD Calculator is useful to find the GCD of 726, 114, 756, 962 quickly. Get the easiest ways to solve the greatest common divisor of 726, 114, 756, 962 i.e 2 in different methods as follows.
Given Input numbers are 726, 114, 756, 962
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 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (726, 114, 756, 962) = 2.
Given numbers are 726, 114, 756, 962
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 114 are 2 x 3 x 19
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 21
Therefore, GCD of 726, 114, 756, 962 is 2.
Given numbers are 726, 114, 756, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 114) = 13794
GCD(726, 114) = ( 726 x 114 ) / 13794
= 726 / 114
= 726
Step2:
LCM(6, 756) = 756
GCD(6, 756) = ( 6 x 756 ) / 756
= 6 / 756
= 6
Step3:
LCM(6, 962) = 2886
GCD(6, 962) = ( 6 x 962 ) / 2886
= 6 / 962
= 6
So, Greatest Common Divisor of 726, 114, 756, 962 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 114, 756, 962
The greatest common divisor of numbers 726, 114, 756, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 114, 756, 962 is 2.
1. What is the GCD of 726, 114, 756, 962?
GCD of given numbers 726, 114, 756, 962 is 2
2. How to calculate the greatest common divisor of 726, 114, 756, 962?
We can find the highest common divisor of 726, 114, 756, 962 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, 114, 756, 962 i.e 2.
3. How can I use the GCD of 726, 114, 756, 962Calculator?
Out the numbers 726, 114, 756, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.