Online GCD Calculator is useful to find the GCD of 728, 375, 172, 994 quickly. Get the easiest ways to solve the greatest common divisor of 728, 375, 172, 994 i.e 1 in different methods as follows.
Given Input numbers are 728, 375, 172, 994
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (728, 375, 172, 994) = 1.
Given numbers are 728, 375, 172, 994
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 375 are 3 x 5 x 5 x 5
Prime factors of 172 are 2 x 2 x 43
Prime factors of 994 are 2 x 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 375, 172, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 375) = 273000
GCD(728, 375) = ( 728 x 375 ) / 273000
= 728 / 375
= 728
Step2:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
Step3:
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
= 1 / 994
= 1
So, Greatest Common Divisor of 728, 375, 172, 994 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 375, 172, 994
The greatest common divisor of numbers 728, 375, 172, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 375, 172, 994 is 1.
1. What is the GCD of 728, 375, 172, 994?
GCD of given numbers 728, 375, 172, 994 is 1
2. How to calculate the greatest common divisor of 728, 375, 172, 994?
We can find the highest common divisor of 728, 375, 172, 994 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, 375, 172, 994 i.e 1.
3. How can I use the GCD of 728, 375, 172, 994Calculator?
Out the numbers 728, 375, 172, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.