Online GCD Calculator is useful to find the GCD of 316, 270, 308, 989 quickly. Get the easiest ways to solve the greatest common divisor of 316, 270, 308, 989 i.e 1 in different methods as follows.
Given Input numbers are 316, 270, 308, 989
In the factoring method, we have to find the divisors of all numbers
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
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 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (316, 270, 308, 989) = 1.
Given numbers are 316, 270, 308, 989
The list of prime factors of all numbers are
Prime factors of 316 are 2 x 2 x 79
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 316, 270, 308, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(316, 270) = 42660
GCD(316, 270) = ( 316 x 270 ) / 42660
= 316 / 270
= 316
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 989) = 1978
GCD(2, 989) = ( 2 x 989 ) / 1978
= 2 / 989
= 2
So, Greatest Common Divisor of 316, 270, 308, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 316, 270, 308, 989
The greatest common divisor of numbers 316, 270, 308, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 270, 308, 989 is 1.
1. What is the GCD of 316, 270, 308, 989?
GCD of given numbers 316, 270, 308, 989 is 1
2. How to calculate the greatest common divisor of 316, 270, 308, 989?
We can find the highest common divisor of 316, 270, 308, 989 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 316, 270, 308, 989 i.e 1.
3. How can I use the GCD of 316, 270, 308, 989Calculator?
Out the numbers 316, 270, 308, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.