Online GCD Calculator is useful to find the GCD of 272, 466, 997, 120 quickly. Get the easiest ways to solve the greatest common divisor of 272, 466, 997, 120 i.e 1 in different methods as follows.
Given Input numbers are 272, 466, 997, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
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
GCD of numbers is the greatest common divisor
So, the GCD (272, 466, 997, 120) = 1.
Given numbers are 272, 466, 997, 120
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 466 are 2 x 233
Prime factors of 997 are 997
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 466, 997, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 466) = 63376
GCD(272, 466) = ( 272 x 466 ) / 63376
= 272 / 466
= 272
Step2:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 272, 466, 997, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 466, 997, 120
The greatest common divisor of numbers 272, 466, 997, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 466, 997, 120 is 1.
1. What is the GCD of 272, 466, 997, 120?
GCD of given numbers 272, 466, 997, 120 is 1
2. How to calculate the greatest common divisor of 272, 466, 997, 120?
We can find the highest common divisor of 272, 466, 997, 120 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 272, 466, 997, 120 i.e 1.
3. How can I use the GCD of 272, 466, 997, 120Calculator?
Out the numbers 272, 466, 997, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.