Online GCD Calculator is useful to find the GCD of 315, 696, 830, 308 quickly. Get the easiest ways to solve the greatest common divisor of 315, 696, 830, 308 i.e 1 in different methods as follows.
Given Input numbers are 315, 696, 830, 308
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD of numbers is the greatest common divisor
So, the GCD (315, 696, 830, 308) = 1.
Given numbers are 315, 696, 830, 308
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 830 are 2 x 5 x 83
Prime factors of 308 are 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 315, 696, 830, 308
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 696) = 73080
GCD(315, 696) = ( 315 x 696 ) / 73080
= 315 / 696
= 315
Step2:
LCM(3, 830) = 2490
GCD(3, 830) = ( 3 x 830 ) / 2490
= 3 / 830
= 3
Step3:
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
= 1 / 308
= 1
So, Greatest Common Divisor of 315, 696, 830, 308 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 696, 830, 308
The greatest common divisor of numbers 315, 696, 830, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 696, 830, 308 is 1.
1. What is the GCD of 315, 696, 830, 308?
GCD of given numbers 315, 696, 830, 308 is 1
2. How to calculate the greatest common divisor of 315, 696, 830, 308?
We can find the highest common divisor of 315, 696, 830, 308 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 315, 696, 830, 308 i.e 1.
3. How can I use the GCD of 315, 696, 830, 308Calculator?
Out the numbers 315, 696, 830, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.