Online GCD Calculator is useful to find the GCD of 109, 823, 721, 484 quickly. Get the easiest ways to solve the greatest common divisor of 109, 823, 721, 484 i.e 1 in different methods as follows.
Given Input numbers are 109, 823, 721, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (109, 823, 721, 484) = 1.
Given numbers are 109, 823, 721, 484
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 823 are 823
Prime factors of 721 are 7 x 103
Prime factors of 484 are 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 823, 721, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 823) = 89707
GCD(109, 823) = ( 109 x 823 ) / 89707
= 109 / 823
= 109
Step2:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 109, 823, 721, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 823, 721, 484
The greatest common divisor of numbers 109, 823, 721, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 823, 721, 484 is 1.
1. What is the GCD of 109, 823, 721, 484?
GCD of given numbers 109, 823, 721, 484 is 1
2. How to calculate the greatest common divisor of 109, 823, 721, 484?
We can find the highest common divisor of 109, 823, 721, 484 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 109, 823, 721, 484 i.e 1.
3. How can I use the GCD of 109, 823, 721, 484Calculator?
Out the numbers 109, 823, 721, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.