Online GCD Calculator is useful to find the GCD of 114, 472, 561, 455 quickly. Get the easiest ways to solve the greatest common divisor of 114, 472, 561, 455 i.e 1 in different methods as follows.
Given Input numbers are 114, 472, 561, 455
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
GCD of numbers is the greatest common divisor
So, the GCD (114, 472, 561, 455) = 1.
Given numbers are 114, 472, 561, 455
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 561 are 3 x 11 x 17
Prime factors of 455 are 5 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 472, 561, 455
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 472) = 26904
GCD(114, 472) = ( 114 x 472 ) / 26904
= 114 / 472
= 114
Step2:
LCM(2, 561) = 1122
GCD(2, 561) = ( 2 x 561 ) / 1122
= 2 / 561
= 2
Step3:
LCM(1, 455) = 455
GCD(1, 455) = ( 1 x 455 ) / 455
= 1 / 455
= 1
So, Greatest Common Divisor of 114, 472, 561, 455 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 472, 561, 455
The greatest common divisor of numbers 114, 472, 561, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 472, 561, 455 is 1.
1. What is the GCD of 114, 472, 561, 455?
GCD of given numbers 114, 472, 561, 455 is 1
2. How to calculate the greatest common divisor of 114, 472, 561, 455?
We can find the highest common divisor of 114, 472, 561, 455 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 114, 472, 561, 455 i.e 1.
3. How can I use the GCD of 114, 472, 561, 455Calculator?
Out the numbers 114, 472, 561, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.