Online GCD Calculator is useful to find the GCD of 120, 612, 460, 605 quickly. Get the easiest ways to solve the greatest common divisor of 120, 612, 460, 605 i.e 1 in different methods as follows.
Given Input numbers are 120, 612, 460, 605
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 605 :
The positive integer divisors of 605 that completely divides 605 are.
1, 5, 11, 55, 121, 605
GCD of numbers is the greatest common divisor
So, the GCD (120, 612, 460, 605) = 1.
Given numbers are 120, 612, 460, 605
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 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 605 are 5 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 612, 460, 605
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 612) = 6120
GCD(120, 612) = ( 120 x 612 ) / 6120
= 120 / 612
= 120
Step2:
LCM(12, 460) = 1380
GCD(12, 460) = ( 12 x 460 ) / 1380
= 12 / 460
= 12
Step3:
LCM(4, 605) = 2420
GCD(4, 605) = ( 4 x 605 ) / 2420
= 4 / 605
= 4
So, Greatest Common Divisor of 120, 612, 460, 605 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 612, 460, 605
The greatest common divisor of numbers 120, 612, 460, 605 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 612, 460, 605 is 1.
1. What is the GCD of 120, 612, 460, 605?
GCD of given numbers 120, 612, 460, 605 is 1
2. How to calculate the greatest common divisor of 120, 612, 460, 605?
We can find the highest common divisor of 120, 612, 460, 605 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, 612, 460, 605 i.e 1.
3. How can I use the GCD of 120, 612, 460, 605Calculator?
Out the numbers 120, 612, 460, 605 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.