Online GCD Calculator is useful to find the GCD of 487, 352, 231, 109 quickly. Get the easiest ways to solve the greatest common divisor of 487, 352, 231, 109 i.e 1 in different methods as follows.
Given Input numbers are 487, 352, 231, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 487 :
The positive integer divisors of 487 that completely divides 487 are.
1, 487
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (487, 352, 231, 109) = 1.
Given numbers are 487, 352, 231, 109
The list of prime factors of all numbers are
Prime factors of 487 are 487
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 231 are 3 x 7 x 11
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 487, 352, 231, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(487, 352) = 171424
GCD(487, 352) = ( 487 x 352 ) / 171424
= 487 / 352
= 487
Step2:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 487, 352, 231, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 487, 352, 231, 109
The greatest common divisor of numbers 487, 352, 231, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 487, 352, 231, 109 is 1.
1. What is the GCD of 487, 352, 231, 109?
GCD of given numbers 487, 352, 231, 109 is 1
2. How to calculate the greatest common divisor of 487, 352, 231, 109?
We can find the highest common divisor of 487, 352, 231, 109 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 487, 352, 231, 109 i.e 1.
3. How can I use the GCD of 487, 352, 231, 109Calculator?
Out the numbers 487, 352, 231, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.