Online GCD Calculator is useful to find the GCD of 308, 121, 159, 315 quickly. Get the easiest ways to solve the greatest common divisor of 308, 121, 159, 315 i.e 1 in different methods as follows.
Given Input numbers are 308, 121, 159, 315
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
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
GCD of numbers is the greatest common divisor
So, the GCD (308, 121, 159, 315) = 1.
Given numbers are 308, 121, 159, 315
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 121 are 11 x 11
Prime factors of 159 are 3 x 53
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 308, 121, 159, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 121) = 3388
GCD(308, 121) = ( 308 x 121 ) / 3388
= 308 / 121
= 308
Step2:
LCM(11, 159) = 1749
GCD(11, 159) = ( 11 x 159 ) / 1749
= 11 / 159
= 11
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 308, 121, 159, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 121, 159, 315
The greatest common divisor of numbers 308, 121, 159, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 121, 159, 315 is 1.
1. What is the GCD of 308, 121, 159, 315?
GCD of given numbers 308, 121, 159, 315 is 1
2. How to calculate the greatest common divisor of 308, 121, 159, 315?
We can find the highest common divisor of 308, 121, 159, 315 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 308, 121, 159, 315 i.e 1.
3. How can I use the GCD of 308, 121, 159, 315Calculator?
Out the numbers 308, 121, 159, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.