Online GCD Calculator is useful to find the GCD of 178, 976, 120, 825 quickly. Get the easiest ways to solve the greatest common divisor of 178, 976, 120, 825 i.e 1 in different methods as follows.
Given Input numbers are 178, 976, 120, 825
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 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (178, 976, 120, 825) = 1.
Given numbers are 178, 976, 120, 825
The list of prime factors of all numbers are
Prime factors of 178 are 2 x 89
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 178, 976, 120, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(178, 976) = 86864
GCD(178, 976) = ( 178 x 976 ) / 86864
= 178 / 976
= 178
Step2:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 178, 976, 120, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 178, 976, 120, 825
The greatest common divisor of numbers 178, 976, 120, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 976, 120, 825 is 1.
1. What is the GCD of 178, 976, 120, 825?
GCD of given numbers 178, 976, 120, 825 is 1
2. How to calculate the greatest common divisor of 178, 976, 120, 825?
We can find the highest common divisor of 178, 976, 120, 825 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, 976, 120, 825 i.e 1.
3. How can I use the GCD of 178, 976, 120, 825Calculator?
Out the numbers 178, 976, 120, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.