Online GCD Calculator is useful to find the GCD of 103, 369, 980, 231 quickly. Get the easiest ways to solve the greatest common divisor of 103, 369, 980, 231 i.e 1 in different methods as follows.
Given Input numbers are 103, 369, 980, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (103, 369, 980, 231) = 1.
Given numbers are 103, 369, 980, 231
The list of prime factors of all numbers are
Prime factors of 103 are 103
Prime factors of 369 are 3 x 3 x 41
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 103, 369, 980, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(103, 369) = 38007
GCD(103, 369) = ( 103 x 369 ) / 38007
= 103 / 369
= 103
Step2:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 103, 369, 980, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 103, 369, 980, 231
The greatest common divisor of numbers 103, 369, 980, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 369, 980, 231 is 1.
1. What is the GCD of 103, 369, 980, 231?
GCD of given numbers 103, 369, 980, 231 is 1
2. How to calculate the greatest common divisor of 103, 369, 980, 231?
We can find the highest common divisor of 103, 369, 980, 231 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 103, 369, 980, 231 i.e 1.
3. How can I use the GCD of 103, 369, 980, 231Calculator?
Out the numbers 103, 369, 980, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.