Online GCD Calculator is useful to find the GCD of 928, 464, 301, 120 quickly. Get the easiest ways to solve the greatest common divisor of 928, 464, 301, 120 i.e 1 in different methods as follows.
Given Input numbers are 928, 464, 301, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
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 (928, 464, 301, 120) = 1.
Given numbers are 928, 464, 301, 120
The list of prime factors of all numbers are
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 301 are 7 x 43
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 928, 464, 301, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(928, 464) = 928
GCD(928, 464) = ( 928 x 464 ) / 928
= 928 / 464
= 928
Step2:
LCM(464, 301) = 139664
GCD(464, 301) = ( 464 x 301 ) / 139664
= 464 / 301
= 464
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 928, 464, 301, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 928, 464, 301, 120
The greatest common divisor of numbers 928, 464, 301, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 464, 301, 120 is 1.
1. What is the GCD of 928, 464, 301, 120?
GCD of given numbers 928, 464, 301, 120 is 1
2. How to calculate the greatest common divisor of 928, 464, 301, 120?
We can find the highest common divisor of 928, 464, 301, 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 928, 464, 301, 120 i.e 1.
3. How can I use the GCD of 928, 464, 301, 120Calculator?
Out the numbers 928, 464, 301, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.