Online GCD Calculator is useful to find the GCD of 728, 436, 721, 175 quickly. Get the easiest ways to solve the greatest common divisor of 728, 436, 721, 175 i.e 1 in different methods as follows.
Given Input numbers are 728, 436, 721, 175
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 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 175 :
The positive integer divisors of 175 that completely divides 175 are.
1, 5, 7, 25, 35, 175
GCD of numbers is the greatest common divisor
So, the GCD (728, 436, 721, 175) = 1.
Given numbers are 728, 436, 721, 175
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 436 are 2 x 2 x 109
Prime factors of 721 are 7 x 103
Prime factors of 175 are 5 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 436, 721, 175
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 436) = 79352
GCD(728, 436) = ( 728 x 436 ) / 79352
= 728 / 436
= 728
Step2:
LCM(4, 721) = 2884
GCD(4, 721) = ( 4 x 721 ) / 2884
= 4 / 721
= 4
Step3:
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
= 1 / 175
= 1
So, Greatest Common Divisor of 728, 436, 721, 175 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 436, 721, 175
The greatest common divisor of numbers 728, 436, 721, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 436, 721, 175 is 1.
1. What is the GCD of 728, 436, 721, 175?
GCD of given numbers 728, 436, 721, 175 is 1
2. How to calculate the greatest common divisor of 728, 436, 721, 175?
We can find the highest common divisor of 728, 436, 721, 175 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, 436, 721, 175 i.e 1.
3. How can I use the GCD of 728, 436, 721, 175Calculator?
Out the numbers 728, 436, 721, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.