Online GCD Calculator is useful to find the GCD of 724, 328, 714, 472 quickly. Get the easiest ways to solve the greatest common divisor of 724, 328, 714, 472 i.e 2 in different methods as follows.
Given Input numbers are 724, 328, 714, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (724, 328, 714, 472) = 2.
Given numbers are 724, 328, 714, 472
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 724, 328, 714, 472 is 2.
Given numbers are 724, 328, 714, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 328) = 59368
GCD(724, 328) = ( 724 x 328 ) / 59368
= 724 / 328
= 724
Step2:
LCM(4, 714) = 1428
GCD(4, 714) = ( 4 x 714 ) / 1428
= 4 / 714
= 4
Step3:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 724, 328, 714, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 328, 714, 472
The greatest common divisor of numbers 724, 328, 714, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 328, 714, 472 is 2.
1. What is the GCD of 724, 328, 714, 472?
GCD of given numbers 724, 328, 714, 472 is 2
2. How to calculate the greatest common divisor of 724, 328, 714, 472?
We can find the highest common divisor of 724, 328, 714, 472 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 724, 328, 714, 472 i.e 2.
3. How can I use the GCD of 724, 328, 714, 472Calculator?
Out the numbers 724, 328, 714, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.