Online GCD Calculator is useful to find the GCD of 120, 293, 988, 225 quickly. Get the easiest ways to solve the greatest common divisor of 120, 293, 988, 225 i.e 1 in different methods as follows.
Given Input numbers are 120, 293, 988, 225
In the factoring method, we have to find the divisors of all numbers
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 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (120, 293, 988, 225) = 1.
Given numbers are 120, 293, 988, 225
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 293 are 293
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 293, 988, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 293) = 35160
GCD(120, 293) = ( 120 x 293 ) / 35160
= 120 / 293
= 120
Step2:
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
= 1 / 988
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 120, 293, 988, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 293, 988, 225
The greatest common divisor of numbers 120, 293, 988, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 293, 988, 225 is 1.
1. What is the GCD of 120, 293, 988, 225?
GCD of given numbers 120, 293, 988, 225 is 1
2. How to calculate the greatest common divisor of 120, 293, 988, 225?
We can find the highest common divisor of 120, 293, 988, 225 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 120, 293, 988, 225 i.e 1.
3. How can I use the GCD of 120, 293, 988, 225Calculator?
Out the numbers 120, 293, 988, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.