Online GCD Calculator is useful to find the GCD of 689, 270, 122, 484 quickly. Get the easiest ways to solve the greatest common divisor of 689, 270, 122, 484 i.e 1 in different methods as follows.
Given Input numbers are 689, 270, 122, 484
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
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 (689, 270, 122, 484) = 1.
Given numbers are 689, 270, 122, 484
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 122 are 2 x 61
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 689, 270, 122, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 270) = 186030
GCD(689, 270) = ( 689 x 270 ) / 186030
= 689 / 270
= 689
Step2:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
Step3:
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
= 1 / 484
= 1
So, Greatest Common Divisor of 689, 270, 122, 484 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 270, 122, 484
The greatest common divisor of numbers 689, 270, 122, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 270, 122, 484 is 1.
1. What is the GCD of 689, 270, 122, 484?
GCD of given numbers 689, 270, 122, 484 is 1
2. How to calculate the greatest common divisor of 689, 270, 122, 484?
We can find the highest common divisor of 689, 270, 122, 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 689, 270, 122, 484 i.e 1.
3. How can I use the GCD of 689, 270, 122, 484Calculator?
Out the numbers 689, 270, 122, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.