Online GCD Calculator is useful to find the GCD of 104, 293, 274, 990 quickly. Get the easiest ways to solve the greatest common divisor of 104, 293, 274, 990 i.e 1 in different methods as follows.
Given Input numbers are 104, 293, 274, 990
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
GCD of numbers is the greatest common divisor
So, the GCD (104, 293, 274, 990) = 1.
Given numbers are 104, 293, 274, 990
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 293 are 293
Prime factors of 274 are 2 x 137
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 104, 293, 274, 990
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 293) = 30472
GCD(104, 293) = ( 104 x 293 ) / 30472
= 104 / 293
= 104
Step2:
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
= 1 / 274
= 1
Step3:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
So, Greatest Common Divisor of 104, 293, 274, 990 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 293, 274, 990
The greatest common divisor of numbers 104, 293, 274, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 293, 274, 990 is 1.
1. What is the GCD of 104, 293, 274, 990?
GCD of given numbers 104, 293, 274, 990 is 1
2. How to calculate the greatest common divisor of 104, 293, 274, 990?
We can find the highest common divisor of 104, 293, 274, 990 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 104, 293, 274, 990 i.e 1.
3. How can I use the GCD of 104, 293, 274, 990Calculator?
Out the numbers 104, 293, 274, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.