Online GCD Calculator is useful to find the GCD of 728, 170, 131, 400 quickly. Get the easiest ways to solve the greatest common divisor of 728, 170, 131, 400 i.e 1 in different methods as follows.
Given Input numbers are 728, 170, 131, 400
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 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 131 :
The positive integer divisors of 131 that completely divides 131 are.
1, 131
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
GCD of numbers is the greatest common divisor
So, the GCD (728, 170, 131, 400) = 1.
Given numbers are 728, 170, 131, 400
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 170 are 2 x 5 x 17
Prime factors of 131 are 131
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 170, 131, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 170) = 61880
GCD(728, 170) = ( 728 x 170 ) / 61880
= 728 / 170
= 728
Step2:
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
= 2 / 131
= 2
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 728, 170, 131, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 170, 131, 400
The greatest common divisor of numbers 728, 170, 131, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 170, 131, 400 is 1.
1. What is the GCD of 728, 170, 131, 400?
GCD of given numbers 728, 170, 131, 400 is 1
2. How to calculate the greatest common divisor of 728, 170, 131, 400?
We can find the highest common divisor of 728, 170, 131, 400 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, 170, 131, 400 i.e 1.
3. How can I use the GCD of 728, 170, 131, 400Calculator?
Out the numbers 728, 170, 131, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.