Online GCD Calculator is useful to find the GCD of 178, 625, 462, 728 quickly. Get the easiest ways to solve the greatest common divisor of 178, 625, 462, 728 i.e 1 in different methods as follows.
Given Input numbers are 178, 625, 462, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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
GCD of numbers is the greatest common divisor
So, the GCD (178, 625, 462, 728) = 1.
Given numbers are 178, 625, 462, 728
The list of prime factors of all numbers are
Prime factors of 178 are 2 x 89
Prime factors of 625 are 5 x 5 x 5 x 5
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 178, 625, 462, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(178, 625) = 111250
GCD(178, 625) = ( 178 x 625 ) / 111250
= 178 / 625
= 178
Step2:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 178, 625, 462, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 178, 625, 462, 728
The greatest common divisor of numbers 178, 625, 462, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 625, 462, 728 is 1.
1. What is the GCD of 178, 625, 462, 728?
GCD of given numbers 178, 625, 462, 728 is 1
2. How to calculate the greatest common divisor of 178, 625, 462, 728?
We can find the highest common divisor of 178, 625, 462, 728 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 178, 625, 462, 728 i.e 1.
3. How can I use the GCD of 178, 625, 462, 728Calculator?
Out the numbers 178, 625, 462, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.