Online GCD Calculator is useful to find the GCD of 390, 350, 555, 695 quickly. Get the easiest ways to solve the greatest common divisor of 390, 350, 555, 695 i.e 5 in different methods as follows.
Given Input numbers are 390, 350, 555, 695
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 555 :
The positive integer divisors of 555 that completely divides 555 are.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
GCD of numbers is the greatest common divisor
So, the GCD (390, 350, 555, 695) = 5.
Given numbers are 390, 350, 555, 695
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 555 are 3 x 5 x 37
Prime factors of 695 are 5 x 139
The highest common occurrence is 51
Therefore, GCD of 390, 350, 555, 695 is 5.
Given numbers are 390, 350, 555, 695
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 350) = 13650
GCD(390, 350) = ( 390 x 350 ) / 13650
= 390 / 350
= 390
Step2:
LCM(10, 555) = 1110
GCD(10, 555) = ( 10 x 555 ) / 1110
= 10 / 555
= 10
Step3:
LCM(5, 695) = 695
GCD(5, 695) = ( 5 x 695 ) / 695
= 5 / 695
= 5
So, Greatest Common Divisor of 390, 350, 555, 695 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 350, 555, 695
The greatest common divisor of numbers 390, 350, 555, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 350, 555, 695 is 5.
1. What is the GCD of 390, 350, 555, 695?
GCD of given numbers 390, 350, 555, 695 is 5
2. How to calculate the greatest common divisor of 390, 350, 555, 695?
We can find the highest common divisor of 390, 350, 555, 695 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, 350, 555, 695 i.e 5.
3. How can I use the GCD of 390, 350, 555, 695Calculator?
Out the numbers 390, 350, 555, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.