Online GCD Calculator is useful to find the GCD of 728, 560, 740 quickly. Get the easiest ways to solve the greatest common divisor of 728, 560, 740 i.e 4 in different methods as follows.
Given Input numbers are 728, 560, 740
In the factoring method, we have to find the divisors of all numbers
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 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (728, 560, 740) = 4.
Given numbers are 728, 560, 740
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 22
Therefore, GCD of 728, 560, 740 is 4.
Given numbers are 728, 560, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 560) = 7280
GCD(728, 560) = ( 728 x 560 ) / 7280
= 728 / 560
= 728
Step2:
LCM(56, 740) = 10360
GCD(56, 740) = ( 56 x 740 ) / 10360
= 56 / 740
= 56
So, Greatest Common Divisor of 728, 560, 740 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 560, 740
The greatest common divisor of numbers 728, 560, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 560, 740 is 4.
1. What is the GCD of 728, 560, 740?
GCD of given numbers 728, 560, 740 is 4
2. How to calculate the greatest common divisor of 728, 560, 740?
We can find the highest common divisor of 728, 560, 740 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 728, 560, 740 i.e 4.
3. How can I use the GCD of 728, 560, 740Calculator?
Out the numbers 728, 560, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.