Online GCD Calculator is useful to find the GCD of 390, 269, 30, 760 quickly. Get the easiest ways to solve the greatest common divisor of 390, 269, 30, 760 i.e 1 in different methods as follows.
Given Input numbers are 390, 269, 30, 760
In the factoring method, we have to find the divisors of all numbers
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 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
GCD of numbers is the greatest common divisor
So, the GCD (390, 269, 30, 760) = 1.
Given numbers are 390, 269, 30, 760
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 269 are 269
Prime factors of 30 are 2 x 3 x 5
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 390, 269, 30, 760
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 269) = 104910
GCD(390, 269) = ( 390 x 269 ) / 104910
= 390 / 269
= 390
Step2:
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
= 1 / 30
= 1
Step3:
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
= 1 / 760
= 1
So, Greatest Common Divisor of 390, 269, 30, 760 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 269, 30, 760
The greatest common divisor of numbers 390, 269, 30, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 269, 30, 760 is 1.
1. What is the GCD of 390, 269, 30, 760?
GCD of given numbers 390, 269, 30, 760 is 1
2. How to calculate the greatest common divisor of 390, 269, 30, 760?
We can find the highest common divisor of 390, 269, 30, 760 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 390, 269, 30, 760 i.e 1.
3. How can I use the GCD of 390, 269, 30, 760Calculator?
Out the numbers 390, 269, 30, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.