Online GCD Calculator is useful to find the GCD of 313, 297, 32, 120 quickly. Get the easiest ways to solve the greatest common divisor of 313, 297, 32, 120 i.e 1 in different methods as follows.
Given Input numbers are 313, 297, 32, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 32 :
The positive integer divisors of 32 that completely divides 32 are.
1, 2, 4, 8, 16, 32
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 (313, 297, 32, 120) = 1.
Given numbers are 313, 297, 32, 120
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 32 are 2 x 2 x 2 x 2 x 2
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 313, 297, 32, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 297) = 92961
GCD(313, 297) = ( 313 x 297 ) / 92961
= 313 / 297
= 313
Step2:
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
= 1 / 32
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 313, 297, 32, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 297, 32, 120
The greatest common divisor of numbers 313, 297, 32, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 297, 32, 120 is 1.
1. What is the GCD of 313, 297, 32, 120?
GCD of given numbers 313, 297, 32, 120 is 1
2. How to calculate the greatest common divisor of 313, 297, 32, 120?
We can find the highest common divisor of 313, 297, 32, 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 313, 297, 32, 120 i.e 1.
3. How can I use the GCD of 313, 297, 32, 120Calculator?
Out the numbers 313, 297, 32, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.