Online GCD Calculator is useful to find the GCD of 721, 343, 728, 775 quickly. Get the easiest ways to solve the greatest common divisor of 721, 343, 728, 775 i.e 1 in different methods as follows.
Given Input numbers are 721, 343, 728, 775
In the factoring method, we have to find the divisors of all numbers
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
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 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
GCD of numbers is the greatest common divisor
So, the GCD (721, 343, 728, 775) = 1.
Given numbers are 721, 343, 728, 775
The list of prime factors of all numbers are
Prime factors of 721 are 7 x 103
Prime factors of 343 are 7 x 7 x 7
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 775 are 5 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 721, 343, 728, 775
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(721, 343) = 35329
GCD(721, 343) = ( 721 x 343 ) / 35329
= 721 / 343
= 721
Step2:
LCM(7, 728) = 728
GCD(7, 728) = ( 7 x 728 ) / 728
= 7 / 728
= 7
Step3:
LCM(7, 775) = 5425
GCD(7, 775) = ( 7 x 775 ) / 5425
= 7 / 775
= 7
So, Greatest Common Divisor of 721, 343, 728, 775 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 721, 343, 728, 775
The greatest common divisor of numbers 721, 343, 728, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 343, 728, 775 is 1.
1. What is the GCD of 721, 343, 728, 775?
GCD of given numbers 721, 343, 728, 775 is 1
2. How to calculate the greatest common divisor of 721, 343, 728, 775?
We can find the highest common divisor of 721, 343, 728, 775 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 721, 343, 728, 775 i.e 1.
3. How can I use the GCD of 721, 343, 728, 775Calculator?
Out the numbers 721, 343, 728, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.