Online GCD Calculator is useful to find the GCD of 324, 726, 802, 722 quickly. Get the easiest ways to solve the greatest common divisor of 324, 726, 802, 722 i.e 2 in different methods as follows.
Given Input numbers are 324, 726, 802, 722
In the factoring method, we have to find the divisors of all numbers
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
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 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
GCD of numbers is the greatest common divisor
So, the GCD (324, 726, 802, 722) = 2.
Given numbers are 324, 726, 802, 722
The list of prime factors of all numbers are
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 802 are 2 x 401
Prime factors of 722 are 2 x 19 x 19
The highest common occurrence is 21
Therefore, GCD of 324, 726, 802, 722 is 2.
Given numbers are 324, 726, 802, 722
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(324, 726) = 39204
GCD(324, 726) = ( 324 x 726 ) / 39204
= 324 / 726
= 324
Step2:
LCM(6, 802) = 2406
GCD(6, 802) = ( 6 x 802 ) / 2406
= 6 / 802
= 6
Step3:
LCM(2, 722) = 722
GCD(2, 722) = ( 2 x 722 ) / 722
= 2 / 722
= 2
So, Greatest Common Divisor of 324, 726, 802, 722 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 324, 726, 802, 722
The greatest common divisor of numbers 324, 726, 802, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 726, 802, 722 is 2.
1. What is the GCD of 324, 726, 802, 722?
GCD of given numbers 324, 726, 802, 722 is 2
2. How to calculate the greatest common divisor of 324, 726, 802, 722?
We can find the highest common divisor of 324, 726, 802, 722 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 324, 726, 802, 722 i.e 2.
3. How can I use the GCD of 324, 726, 802, 722Calculator?
Out the numbers 324, 726, 802, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.