Online GCD Calculator is useful to find the GCD of 144, 981, 314, 969 quickly. Get the easiest ways to solve the greatest common divisor of 144, 981, 314, 969 i.e 1 in different methods as follows.
Given Input numbers are 144, 981, 314, 969
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
GCD of numbers is the greatest common divisor
So, the GCD (144, 981, 314, 969) = 1.
Given numbers are 144, 981, 314, 969
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 981 are 3 x 3 x 109
Prime factors of 314 are 2 x 157
Prime factors of 969 are 3 x 17 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 981, 314, 969
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 981) = 15696
GCD(144, 981) = ( 144 x 981 ) / 15696
= 144 / 981
= 144
Step2:
LCM(9, 314) = 2826
GCD(9, 314) = ( 9 x 314 ) / 2826
= 9 / 314
= 9
Step3:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
So, Greatest Common Divisor of 144, 981, 314, 969 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 981, 314, 969
The greatest common divisor of numbers 144, 981, 314, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 981, 314, 969 is 1.
1. What is the GCD of 144, 981, 314, 969?
GCD of given numbers 144, 981, 314, 969 is 1
2. How to calculate the greatest common divisor of 144, 981, 314, 969?
We can find the highest common divisor of 144, 981, 314, 969 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 144, 981, 314, 969 i.e 1.
3. How can I use the GCD of 144, 981, 314, 969Calculator?
Out the numbers 144, 981, 314, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.