Online GCD Calculator is useful to find the GCD of 120, 345, 390, 785 quickly. Get the easiest ways to solve the greatest common divisor of 120, 345, 390, 785 i.e 5 in different methods as follows.
Given Input numbers are 120, 345, 390, 785
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 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 785 :
The positive integer divisors of 785 that completely divides 785 are.
1, 5, 157, 785
GCD of numbers is the greatest common divisor
So, the GCD (120, 345, 390, 785) = 5.
Given numbers are 120, 345, 390, 785
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 345 are 3 x 5 x 23
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 785 are 5 x 157
The highest common occurrence is 51
Therefore, GCD of 120, 345, 390, 785 is 5.
Given numbers are 120, 345, 390, 785
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 345) = 2760
GCD(120, 345) = ( 120 x 345 ) / 2760
= 120 / 345
= 120
Step2:
LCM(15, 390) = 390
GCD(15, 390) = ( 15 x 390 ) / 390
= 15 / 390
= 15
Step3:
LCM(15, 785) = 2355
GCD(15, 785) = ( 15 x 785 ) / 2355
= 15 / 785
= 15
So, Greatest Common Divisor of 120, 345, 390, 785 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 345, 390, 785
The greatest common divisor of numbers 120, 345, 390, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 345, 390, 785 is 5.
1. What is the GCD of 120, 345, 390, 785?
GCD of given numbers 120, 345, 390, 785 is 5
2. How to calculate the greatest common divisor of 120, 345, 390, 785?
We can find the highest common divisor of 120, 345, 390, 785 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, 345, 390, 785 i.e 5.
3. How can I use the GCD of 120, 345, 390, 785Calculator?
Out the numbers 120, 345, 390, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.