Online GCD Calculator is useful to find the GCD of 714, 728, 400, 270 quickly. Get the easiest ways to solve the greatest common divisor of 714, 728, 400, 270 i.e 2 in different methods as follows.
Given Input numbers are 714, 728, 400, 270
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (714, 728, 400, 270) = 2.
Given numbers are 714, 728, 400, 270
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 714, 728, 400, 270 is 2.
Given numbers are 714, 728, 400, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 728) = 37128
GCD(714, 728) = ( 714 x 728 ) / 37128
= 714 / 728
= 714
Step2:
LCM(14, 400) = 2800
GCD(14, 400) = ( 14 x 400 ) / 2800
= 14 / 400
= 14
Step3:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
So, Greatest Common Divisor of 714, 728, 400, 270 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 728, 400, 270
The greatest common divisor of numbers 714, 728, 400, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 728, 400, 270 is 2.
1. What is the GCD of 714, 728, 400, 270?
GCD of given numbers 714, 728, 400, 270 is 2
2. How to calculate the greatest common divisor of 714, 728, 400, 270?
We can find the highest common divisor of 714, 728, 400, 270 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, 728, 400, 270 i.e 2.
3. How can I use the GCD of 714, 728, 400, 270Calculator?
Out the numbers 714, 728, 400, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.