Online GCD Calculator is useful to find the GCD of 714, 323, 748 quickly. Get the easiest ways to solve the greatest common divisor of 714, 323, 748 i.e 17 in different methods as follows.
Given Input numbers are 714, 323, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 323 :
The positive integer divisors of 323 that completely divides 323 are.
1, 17, 19, 323
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (714, 323, 748) = 17.
Given numbers are 714, 323, 748
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 323 are 17 x 19
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 171
Therefore, GCD of 714, 323, 748 is 17.
Given numbers are 714, 323, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 323) = 13566
GCD(714, 323) = ( 714 x 323 ) / 13566
= 714 / 323
= 714
Step2:
LCM(17, 748) = 748
GCD(17, 748) = ( 17 x 748 ) / 748
= 17 / 748
= 17
So, Greatest Common Divisor of 714, 323, 748 is 17
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 323, 748
The greatest common divisor of numbers 714, 323, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 323, 748 is 17.
1. What is the GCD of 714, 323, 748?
GCD of given numbers 714, 323, 748 is 17
2. How to calculate the greatest common divisor of 714, 323, 748?
We can find the highest common divisor of 714, 323, 748 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 714, 323, 748 i.e 17.
3. How can I use the GCD of 714, 323, 748Calculator?
Out the numbers 714, 323, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.