Online GCD Calculator is useful to find the GCD of 981, 342, 118, 289 quickly. Get the easiest ways to solve the greatest common divisor of 981, 342, 118, 289 i.e 1 in different methods as follows.
Given Input numbers are 981, 342, 118, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (981, 342, 118, 289) = 1.
Given numbers are 981, 342, 118, 289
The list of prime factors of all numbers are
Prime factors of 981 are 3 x 3 x 109
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 118 are 2 x 59
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 981, 342, 118, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(981, 342) = 37278
GCD(981, 342) = ( 981 x 342 ) / 37278
= 981 / 342
= 981
Step2:
LCM(9, 118) = 1062
GCD(9, 118) = ( 9 x 118 ) / 1062
= 9 / 118
= 9
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 981, 342, 118, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 981, 342, 118, 289
The greatest common divisor of numbers 981, 342, 118, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 342, 118, 289 is 1.
1. What is the GCD of 981, 342, 118, 289?
GCD of given numbers 981, 342, 118, 289 is 1
2. How to calculate the greatest common divisor of 981, 342, 118, 289?
We can find the highest common divisor of 981, 342, 118, 289 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 981, 342, 118, 289 i.e 1.
3. How can I use the GCD of 981, 342, 118, 289Calculator?
Out the numbers 981, 342, 118, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.