Online GCD Calculator is useful to find the GCD of 455, 465, 564, 413 quickly. Get the easiest ways to solve the greatest common divisor of 455, 465, 564, 413 i.e 1 in different methods as follows.
Given Input numbers are 455, 465, 564, 413
In the factoring method, we have to find the divisors of all numbers
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (455, 465, 564, 413) = 1.
Given numbers are 455, 465, 564, 413
The list of prime factors of all numbers are
Prime factors of 455 are 5 x 7 x 13
Prime factors of 465 are 3 x 5 x 31
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 413 are 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 455, 465, 564, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(455, 465) = 42315
GCD(455, 465) = ( 455 x 465 ) / 42315
= 455 / 465
= 455
Step2:
LCM(5, 564) = 2820
GCD(5, 564) = ( 5 x 564 ) / 2820
= 5 / 564
= 5
Step3:
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
= 1 / 413
= 1
So, Greatest Common Divisor of 455, 465, 564, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 455, 465, 564, 413
The greatest common divisor of numbers 455, 465, 564, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 465, 564, 413 is 1.
1. What is the GCD of 455, 465, 564, 413?
GCD of given numbers 455, 465, 564, 413 is 1
2. How to calculate the greatest common divisor of 455, 465, 564, 413?
We can find the highest common divisor of 455, 465, 564, 413 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 455, 465, 564, 413 i.e 1.
3. How can I use the GCD of 455, 465, 564, 413Calculator?
Out the numbers 455, 465, 564, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.